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Finding the Fourth Proportional to 7,610.78, 10,502.82 and 4,253.74

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Solution

The fourth proportional to 7,610.78, 10,502.82 and 4,253.74 is: 5,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.78 : 10,502.82 = 4,253.74 : x
  2. Step 2: Convert to fraction form
    7,610.78/10,502.82 = 4,253.74/x
  3. Step 3: Cross multiply
    7,610.78x = 10,502.82 × 4,253.74
  4. Step 4: Simplify right side
    7,610.78x = 44,676,218.02
  5. Step 5: Solve for x
    x = 44,676,218.02/7,610.78
  6. Step 6: Final answer
    x = 5,870.12

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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.