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Finding the Fourth Proportional to 9,904.16, 14,934.88 and 9,772.40

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Solution

The fourth proportional to 9,904.16, 14,934.88 and 9,772.40 is: 14,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.16 : 14,934.88 = 9,772.40 : x
  2. Step 2: Convert to fraction form
    9,904.16/14,934.88 = 9,772.40/x
  3. Step 3: Cross multiply
    9,904.16x = 14,934.88 × 9,772.40
  4. Step 4: Simplify right side
    9,904.16x = 145,949,621.31
  5. Step 5: Solve for x
    x = 145,949,621.31/9,904.16
  6. Step 6: Final answer
    x = 14,736.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.