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Finding the Fourth Proportional to 6,586.42, 9,832.68 and 6,355.70

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Solution

The fourth proportional to 6,586.42, 9,832.68 and 6,355.70 is: 9,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.42 : 9,832.68 = 6,355.70 : x
  2. Step 2: Convert to fraction form
    6,586.42/9,832.68 = 6,355.70/x
  3. Step 3: Cross multiply
    6,586.42x = 9,832.68 × 6,355.70
  4. Step 4: Simplify right side
    6,586.42x = 62,493,565.02
  5. Step 5: Solve for x
    x = 62,493,565.02/6,586.42
  6. Step 6: Final answer
    x = 9,488.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.