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Finding the Fourth Proportional to 6,152.56, 8,490.90 and 4,658.11

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Solution

The fourth proportional to 6,152.56, 8,490.90 and 4,658.11 is: 6,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.56 : 8,490.90 = 4,658.11 : x
  2. Step 2: Convert to fraction form
    6,152.56/8,490.90 = 4,658.11/x
  3. Step 3: Cross multiply
    6,152.56x = 8,490.90 × 4,658.11
  4. Step 4: Simplify right side
    6,152.56x = 39,551,546.20
  5. Step 5: Solve for x
    x = 39,551,546.20/6,152.56
  6. Step 6: Final answer
    x = 6,428.47

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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.