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Finding the Fourth Proportional to 8,291.84, 11,442.69 and 4,565.84

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Solution

The fourth proportional to 8,291.84, 11,442.69 and 4,565.84 is: 6,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.84 : 11,442.69 = 4,565.84 : x
  2. Step 2: Convert to fraction form
    8,291.84/11,442.69 = 4,565.84/x
  3. Step 3: Cross multiply
    8,291.84x = 11,442.69 × 4,565.84
  4. Step 4: Simplify right side
    8,291.84x = 52,245,434.50
  5. Step 5: Solve for x
    x = 52,245,434.50/8,291.84
  6. Step 6: Final answer
    x = 6,300.83

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Double scale
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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.