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Finding the Fourth Proportional to 9,658.32, 13,314.08 and 7,001.52

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Solution

The fourth proportional to 9,658.32, 13,314.08 and 7,001.52 is: 9,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.32 : 13,314.08 = 7,001.52 : x
  2. Step 2: Convert to fraction form
    9,658.32/13,314.08 = 7,001.52/x
  3. Step 3: Cross multiply
    9,658.32x = 13,314.08 × 7,001.52
  4. Step 4: Simplify right side
    9,658.32x = 93,218,797.40
  5. Step 5: Solve for x
    x = 93,218,797.40/9,658.32
  6. Step 6: Final answer
    x = 9,651.66

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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.