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Finding the Fourth Proportional to 11,174.63, 15,420.98 and 6,206.63

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Solution

The fourth proportional to 11,174.63, 15,420.98 and 6,206.63 is: 8,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.63 : 15,420.98 = 6,206.63 : x
  2. Step 2: Convert to fraction form
    11,174.63/15,420.98 = 6,206.63/x
  3. Step 3: Cross multiply
    11,174.63x = 15,420.98 × 6,206.63
  4. Step 4: Simplify right side
    11,174.63x = 95,712,255.51
  5. Step 5: Solve for x
    x = 95,712,255.51/11,174.63
  6. Step 6: Final answer
    x = 8,565.14

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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.