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Finding the Fourth Proportional to 6,139.80, 8,314.65 and 6,139.80

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Solution

The fourth proportional to 6,139.80, 8,314.65 and 6,139.80 is: 8,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.80 : 8,314.65 = 6,139.80 : x
  2. Step 2: Convert to fraction form
    6,139.80/8,314.65 = 6,139.80/x
  3. Step 3: Cross multiply
    6,139.80x = 8,314.65 × 6,139.80
  4. Step 4: Simplify right side
    6,139.80x = 51,050,288.07
  5. Step 5: Solve for x
    x = 51,050,288.07/6,139.80
  6. Step 6: Final answer
    x = 8,314.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.