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Finding the Fourth Proportional to 6,034.78, 9,052.11 and 1,652.23

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Solution

The fourth proportional to 6,034.78, 9,052.11 and 1,652.23 is: 2,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.78 : 9,052.11 = 1,652.23 : x
  2. Step 2: Convert to fraction form
    6,034.78/9,052.11 = 1,652.23/x
  3. Step 3: Cross multiply
    6,034.78x = 9,052.11 × 1,652.23
  4. Step 4: Simplify right side
    6,034.78x = 14,956,167.71
  5. Step 5: Solve for x
    x = 14,956,167.71/6,034.78
  6. Step 6: Final answer
    x = 2,478.33

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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.