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Finding the Fourth Proportional to 10,435.94, 15,727.28 and 9,397.12

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Solution

The fourth proportional to 10,435.94, 15,727.28 and 9,397.12 is: 14,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.94 : 15,727.28 = 9,397.12 : x
  2. Step 2: Convert to fraction form
    10,435.94/15,727.28 = 9,397.12/x
  3. Step 3: Cross multiply
    10,435.94x = 15,727.28 × 9,397.12
  4. Step 4: Simplify right side
    10,435.94x = 147,791,137.43
  5. Step 5: Solve for x
    x = 147,791,137.43/10,435.94
  6. Step 6: Final answer
    x = 14,161.75

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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.