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Finding the Fourth Proportional to 9,715.80, 14,573.70 and 3,146.70

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Solution

The fourth proportional to 9,715.80, 14,573.70 and 3,146.70 is: 4,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.80 : 14,573.70 = 3,146.70 : x
  2. Step 2: Convert to fraction form
    9,715.80/14,573.70 = 3,146.70/x
  3. Step 3: Cross multiply
    9,715.80x = 14,573.70 × 3,146.70
  4. Step 4: Simplify right side
    9,715.80x = 45,859,061.79
  5. Step 5: Solve for x
    x = 45,859,061.79/9,715.80
  6. Step 6: Final answer
    x = 4,720.05

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Similar ratio
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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.