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Finding the Fourth Proportional to 7,287.30, 10,902.15 and 6,596.10

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Solution

The fourth proportional to 7,287.30, 10,902.15 and 6,596.10 is: 9,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.30 : 10,902.15 = 6,596.10 : x
  2. Step 2: Convert to fraction form
    7,287.30/10,902.15 = 6,596.10/x
  3. Step 3: Cross multiply
    7,287.30x = 10,902.15 × 6,596.10
  4. Step 4: Simplify right side
    7,287.30x = 71,911,671.62
  5. Step 5: Solve for x
    x = 71,911,671.62/7,287.30
  6. Step 6: Final answer
    x = 9,868.08

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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.