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Finding the Fourth Proportional to 9,468.16, 13,065.85 and 5,489.17

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Solution

The fourth proportional to 9,468.16, 13,065.85 and 5,489.17 is: 7,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.16 : 13,065.85 = 5,489.17 : x
  2. Step 2: Convert to fraction form
    9,468.16/13,065.85 = 5,489.17/x
  3. Step 3: Cross multiply
    9,468.16x = 13,065.85 × 5,489.17
  4. Step 4: Simplify right side
    9,468.16x = 71,720,671.84
  5. Step 5: Solve for x
    x = 71,720,671.84/9,468.16
  6. Step 6: Final answer
    x = 7,574.93

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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.