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Finding the Fourth Proportional to 9,641.04, 13,306.14 and 5,865.39

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Solution

The fourth proportional to 9,641.04, 13,306.14 and 5,865.39 is: 8,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.04 : 13,306.14 = 5,865.39 : x
  2. Step 2: Convert to fraction form
    9,641.04/13,306.14 = 5,865.39/x
  3. Step 3: Cross multiply
    9,641.04x = 13,306.14 × 5,865.39
  4. Step 4: Simplify right side
    9,641.04x = 78,045,700.49
  5. Step 5: Solve for x
    x = 78,045,700.49/9,641.04
  6. Step 6: Final answer
    x = 8,095.15

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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.