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Finding the Fourth Proportional to 6,586.40, 9,872.16 and 5,807.12

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Solution

The fourth proportional to 6,586.40, 9,872.16 and 5,807.12 is: 8,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.40 : 9,872.16 = 5,807.12 : x
  2. Step 2: Convert to fraction form
    6,586.40/9,872.16 = 5,807.12/x
  3. Step 3: Cross multiply
    6,586.40x = 9,872.16 × 5,807.12
  4. Step 4: Simplify right side
    6,586.40x = 57,328,817.78
  5. Step 5: Solve for x
    x = 57,328,817.78/6,586.40
  6. Step 6: Final answer
    x = 8,704.12

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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.