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Finding the Fourth Proportional to 10,726.92, 14,807.16 and 9,605.88

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Solution

The fourth proportional to 10,726.92, 14,807.16 and 9,605.88 is: 13,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.92 : 14,807.16 = 9,605.88 : x
  2. Step 2: Convert to fraction form
    10,726.92/14,807.16 = 9,605.88/x
  3. Step 3: Cross multiply
    10,726.92x = 14,807.16 × 9,605.88
  4. Step 4: Simplify right side
    10,726.92x = 142,235,802.10
  5. Step 5: Solve for x
    x = 142,235,802.10/10,726.92
  6. Step 6: Final answer
    x = 13,259.71

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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.