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Finding the Fourth Proportional to 7,066.78, 9,750.48 and 4,549.70

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Solution

The fourth proportional to 7,066.78, 9,750.48 and 4,549.70 is: 6,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.78 : 9,750.48 = 4,549.70 : x
  2. Step 2: Convert to fraction form
    7,066.78/9,750.48 = 4,549.70/x
  3. Step 3: Cross multiply
    7,066.78x = 9,750.48 × 4,549.70
  4. Step 4: Simplify right side
    7,066.78x = 44,361,766.17
  5. Step 5: Solve for x
    x = 44,361,766.17/7,066.78
  6. Step 6: Final answer
    x = 6,277.51

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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.