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Finding the Fourth Proportional to 7,562.38, 10,446.06 and 6,307.54

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Solution

The fourth proportional to 7,562.38, 10,446.06 and 6,307.54 is: 8,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.38 : 10,446.06 = 6,307.54 : x
  2. Step 2: Convert to fraction form
    7,562.38/10,446.06 = 6,307.54/x
  3. Step 3: Cross multiply
    7,562.38x = 10,446.06 × 6,307.54
  4. Step 4: Simplify right side
    7,562.38x = 65,888,941.29
  5. Step 5: Solve for x
    x = 65,888,941.29/7,562.38
  6. Step 6: Final answer
    x = 8,712.73

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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.