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Finding the Fourth Proportional to 9,940.16, 14,910.24 and 9,721.46

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Solution

The fourth proportional to 9,940.16, 14,910.24 and 9,721.46 is: 14,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.16 : 14,910.24 = 9,721.46 : x
  2. Step 2: Convert to fraction form
    9,940.16/14,910.24 = 9,721.46/x
  3. Step 3: Cross multiply
    9,940.16x = 14,910.24 × 9,721.46
  4. Step 4: Simplify right side
    9,940.16x = 144,949,301.75
  5. Step 5: Solve for x
    x = 144,949,301.75/9,940.16
  6. Step 6: Final answer
    x = 14,582.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.