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Finding the Fourth Proportional to 5,153.70, 7,722.30 and 5,017.02

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Solution

The fourth proportional to 5,153.70, 7,722.30 and 5,017.02 is: 7,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.70 : 7,722.30 = 5,017.02 : x
  2. Step 2: Convert to fraction form
    5,153.70/7,722.30 = 5,017.02/x
  3. Step 3: Cross multiply
    5,153.70x = 7,722.30 × 5,017.02
  4. Step 4: Simplify right side
    5,153.70x = 38,742,933.55
  5. Step 5: Solve for x
    x = 38,742,933.55/5,153.70
  6. Step 6: Final answer
    x = 7,517.50

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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.