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Finding the Fourth Proportional to 5,153.40, 7,730.10 and 4,951.80

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Solution

The fourth proportional to 5,153.40, 7,730.10 and 4,951.80 is: 7,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.40 : 7,730.10 = 4,951.80 : x
  2. Step 2: Convert to fraction form
    5,153.40/7,730.10 = 4,951.80/x
  3. Step 3: Cross multiply
    5,153.40x = 7,730.10 × 4,951.80
  4. Step 4: Simplify right side
    5,153.40x = 38,277,909.18
  5. Step 5: Solve for x
    x = 38,277,909.18/5,153.40
  6. Step 6: Final answer
    x = 7,427.70

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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.