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Finding the Fourth Proportional to 5,948.76, 8,878.86 and 5,154.57

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Solution

The fourth proportional to 5,948.76, 8,878.86 and 5,154.57 is: 7,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.76 : 8,878.86 = 5,154.57 : x
  2. Step 2: Convert to fraction form
    5,948.76/8,878.86 = 5,154.57/x
  3. Step 3: Cross multiply
    5,948.76x = 8,878.86 × 5,154.57
  4. Step 4: Simplify right side
    5,948.76x = 45,766,705.39
  5. Step 5: Solve for x
    x = 45,766,705.39/5,948.76
  6. Step 6: Final answer
    x = 7,693.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.