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Finding the Fourth Proportional to 7,291.87, 10,937.65 and 2,097.74

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Solution

The fourth proportional to 7,291.87, 10,937.65 and 2,097.74 is: 3,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.87 : 10,937.65 = 2,097.74 : x
  2. Step 2: Convert to fraction form
    7,291.87/10,937.65 = 2,097.74/x
  3. Step 3: Cross multiply
    7,291.87x = 10,937.65 × 2,097.74
  4. Step 4: Simplify right side
    7,291.87x = 22,944,345.91
  5. Step 5: Solve for x
    x = 22,944,345.91/7,291.87
  6. Step 6: Final answer
    x = 3,146.57

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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.