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Finding the Fourth Proportional to 7,140.60, 10,710.90 and 4,222.20

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Solution

The fourth proportional to 7,140.60, 10,710.90 and 4,222.20 is: 6,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.60 : 10,710.90 = 4,222.20 : x
  2. Step 2: Convert to fraction form
    7,140.60/10,710.90 = 4,222.20/x
  3. Step 3: Cross multiply
    7,140.60x = 10,710.90 × 4,222.20
  4. Step 4: Simplify right side
    7,140.60x = 45,223,561.98
  5. Step 5: Solve for x
    x = 45,223,561.98/7,140.60
  6. Step 6: Final answer
    x = 6,333.30

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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.