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Finding the Fourth Proportional to 8,379.64, 12,564.86 and 5,417.66

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Solution

The fourth proportional to 8,379.64, 12,564.86 and 5,417.66 is: 8,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.64 : 12,564.86 = 5,417.66 : x
  2. Step 2: Convert to fraction form
    8,379.64/12,564.86 = 5,417.66/x
  3. Step 3: Cross multiply
    8,379.64x = 12,564.86 × 5,417.66
  4. Step 4: Simplify right side
    8,379.64x = 68,072,139.43
  5. Step 5: Solve for x
    x = 68,072,139.43/8,379.64
  6. Step 6: Final answer
    x = 8,123.52

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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.