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Finding the Fourth Proportional to 6,346.62, 8,740.71 and 5,854.14

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Solution

The fourth proportional to 6,346.62, 8,740.71 and 5,854.14 is: 8,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.62 : 8,740.71 = 5,854.14 : x
  2. Step 2: Convert to fraction form
    6,346.62/8,740.71 = 5,854.14/x
  3. Step 3: Cross multiply
    6,346.62x = 8,740.71 × 5,854.14
  4. Step 4: Simplify right side
    6,346.62x = 51,169,340.04
  5. Step 5: Solve for x
    x = 51,169,340.04/6,346.62
  6. Step 6: Final answer
    x = 8,062.46

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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.