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Finding the Fourth Proportional to 7,652.16, 11,463.63 and 5,182.74

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Solution

The fourth proportional to 7,652.16, 11,463.63 and 5,182.74 is: 7,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.16 : 11,463.63 = 5,182.74 : x
  2. Step 2: Convert to fraction form
    7,652.16/11,463.63 = 5,182.74/x
  3. Step 3: Cross multiply
    7,652.16x = 11,463.63 × 5,182.74
  4. Step 4: Simplify right side
    7,652.16x = 59,413,013.75
  5. Step 5: Solve for x
    x = 59,413,013.75/7,652.16
  6. Step 6: Final answer
    x = 7,764.21

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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.