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Finding the Fourth Proportional to 7,211.68, 9,954.72 and 4,560.88

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Solution

The fourth proportional to 7,211.68, 9,954.72 and 4,560.88 is: 6,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.68 : 9,954.72 = 4,560.88 : x
  2. Step 2: Convert to fraction form
    7,211.68/9,954.72 = 4,560.88/x
  3. Step 3: Cross multiply
    7,211.68x = 9,954.72 × 4,560.88
  4. Step 4: Simplify right side
    7,211.68x = 45,402,283.35
  5. Step 5: Solve for x
    x = 45,402,283.35/7,211.68
  6. Step 6: Final answer
    x = 6,295.66

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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.