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Finding the Fourth Proportional to 9,152.65, 12,641.04 and 6,163.30

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Solution

The fourth proportional to 9,152.65, 12,641.04 and 6,163.30 is: 8,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.65 : 12,641.04 = 6,163.30 : x
  2. Step 2: Convert to fraction form
    9,152.65/12,641.04 = 6,163.30/x
  3. Step 3: Cross multiply
    9,152.65x = 12,641.04 × 6,163.30
  4. Step 4: Simplify right side
    9,152.65x = 77,910,521.83
  5. Step 5: Solve for x
    x = 77,910,521.83/9,152.65
  6. Step 6: Final answer
    x = 8,512.35

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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.