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Finding the Fourth Proportional to 6,854.76, 9,459.54 and 3,711

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Solution

The fourth proportional to 6,854.76, 9,459.54 and 3,711 is: 5,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.76 : 9,459.54 = 3,711 : x
  2. Step 2: Convert to fraction form
    6,854.76/9,459.54 = 3,711/x
  3. Step 3: Cross multiply
    6,854.76x = 9,459.54 × 3,711
  4. Step 4: Simplify right side
    6,854.76x = 35,104,352.94
  5. Step 5: Solve for x
    x = 35,104,352.94/6,854.76
  6. Step 6: Final answer
    x = 5,121.16

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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.