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Finding the Fourth Proportional to 6,314.54, 9,470.88 and 2,154.68

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Solution

The fourth proportional to 6,314.54, 9,470.88 and 2,154.68 is: 3,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.54 : 9,470.88 = 2,154.68 : x
  2. Step 2: Convert to fraction form
    6,314.54/9,470.88 = 2,154.68/x
  3. Step 3: Cross multiply
    6,314.54x = 9,470.88 × 2,154.68
  4. Step 4: Simplify right side
    6,314.54x = 20,406,715.72
  5. Step 5: Solve for x
    x = 20,406,715.72/6,314.54
  6. Step 6: Final answer
    x = 3,231.70

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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.