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Finding the Fourth Proportional to 10,726.40, 14,795.16 and 8,737.04

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Solution

The fourth proportional to 10,726.40, 14,795.16 and 8,737.04 is: 12,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.40 : 14,795.16 = 8,737.04 : x
  2. Step 2: Convert to fraction form
    10,726.40/14,795.16 = 8,737.04/x
  3. Step 3: Cross multiply
    10,726.40x = 14,795.16 × 8,737.04
  4. Step 4: Simplify right side
    10,726.40x = 129,265,904.73
  5. Step 5: Solve for x
    x = 129,265,904.73/10,726.40
  6. Step 6: Final answer
    x = 12,051.19

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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.