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Finding the Fourth Proportional to 9,732.65, 13,435.13 and 6,590.66

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Solution

The fourth proportional to 9,732.65, 13,435.13 and 6,590.66 is: 9,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.65 : 13,435.13 = 6,590.66 : x
  2. Step 2: Convert to fraction form
    9,732.65/13,435.13 = 6,590.66/x
  3. Step 3: Cross multiply
    9,732.65x = 13,435.13 × 6,590.66
  4. Step 4: Simplify right side
    9,732.65x = 88,546,323.19
  5. Step 5: Solve for x
    x = 88,546,323.19/9,732.65
  6. Step 6: Final answer
    x = 9,097.87

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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.