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Finding the Fourth Proportional to 9,095.01, 13,640.02 and 6,454.68

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Solution

The fourth proportional to 9,095.01, 13,640.02 and 6,454.68 is: 9,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.01 : 13,640.02 = 6,454.68 : x
  2. Step 2: Convert to fraction form
    9,095.01/13,640.02 = 6,454.68/x
  3. Step 3: Cross multiply
    9,095.01x = 13,640.02 × 6,454.68
  4. Step 4: Simplify right side
    9,095.01x = 88,041,948.16
  5. Step 5: Solve for x
    x = 88,041,948.16/9,095.01
  6. Step 6: Final answer
    x = 9,680.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.