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Finding the Fourth Proportional to 8,203.53, 11,320.95 and 4,666.98

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Solution

The fourth proportional to 8,203.53, 11,320.95 and 4,666.98 is: 6,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.53 : 11,320.95 = 4,666.98 : x
  2. Step 2: Convert to fraction form
    8,203.53/11,320.95 = 4,666.98/x
  3. Step 3: Cross multiply
    8,203.53x = 11,320.95 × 4,666.98
  4. Step 4: Simplify right side
    8,203.53x = 52,834,647.23
  5. Step 5: Solve for x
    x = 52,834,647.23/8,203.53
  6. Step 6: Final answer
    x = 6,440.48

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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.