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Finding the Fourth Proportional to 8,294.56, 12,422.40 and 4,590.88

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Solution

The fourth proportional to 8,294.56, 12,422.40 and 4,590.88 is: 6,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.56 : 12,422.40 = 4,590.88 : x
  2. Step 2: Convert to fraction form
    8,294.56/12,422.40 = 4,590.88/x
  3. Step 3: Cross multiply
    8,294.56x = 12,422.40 × 4,590.88
  4. Step 4: Simplify right side
    8,294.56x = 57,029,747.71
  5. Step 5: Solve for x
    x = 57,029,747.71/8,294.56
  6. Step 6: Final answer
    x = 6,875.56

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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.