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Finding the Fourth Proportional to 7,235.59, 10,854.74 and 2,306.47

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Solution

The fourth proportional to 7,235.59, 10,854.74 and 2,306.47 is: 3,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.59 : 10,854.74 = 2,306.47 : x
  2. Step 2: Convert to fraction form
    7,235.59/10,854.74 = 2,306.47/x
  3. Step 3: Cross multiply
    7,235.59x = 10,854.74 × 2,306.47
  4. Step 4: Simplify right side
    7,235.59x = 25,036,132.17
  5. Step 5: Solve for x
    x = 25,036,132.17/7,235.59
  6. Step 6: Final answer
    x = 3,460.14

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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.