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Finding the Fourth Proportional to 8,420.98, 11,614.13 and 7,410.51

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Solution

The fourth proportional to 8,420.98, 11,614.13 and 7,410.51 is: 10,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.98 : 11,614.13 = 7,410.51 : x
  2. Step 2: Convert to fraction form
    8,420.98/11,614.13 = 7,410.51/x
  3. Step 3: Cross multiply
    8,420.98x = 11,614.13 × 7,410.51
  4. Step 4: Simplify right side
    8,420.98x = 86,066,626.51
  5. Step 5: Solve for x
    x = 86,066,626.51/8,420.98
  6. Step 6: Final answer
    x = 10,220.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.