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Finding the Fourth Proportional to 9,841.65, 13,585.10 and 6,065.43

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Solution

The fourth proportional to 9,841.65, 13,585.10 and 6,065.43 is: 8,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.65 : 13,585.10 = 6,065.43 : x
  2. Step 2: Convert to fraction form
    9,841.65/13,585.10 = 6,065.43/x
  3. Step 3: Cross multiply
    9,841.65x = 13,585.10 × 6,065.43
  4. Step 4: Simplify right side
    9,841.65x = 82,399,442.77
  5. Step 5: Solve for x
    x = 82,399,442.77/9,841.65
  6. Step 6: Final answer
    x = 8,372.52

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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.