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Finding the Fourth Proportional to 4,969.40, 7,454.10 and 4,750.70

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Solution

The fourth proportional to 4,969.40, 7,454.10 and 4,750.70 is: 7,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.40 : 7,454.10 = 4,750.70 : x
  2. Step 2: Convert to fraction form
    4,969.40/7,454.10 = 4,750.70/x
  3. Step 3: Cross multiply
    4,969.40x = 7,454.10 × 4,750.70
  4. Step 4: Simplify right side
    4,969.40x = 35,412,192.87
  5. Step 5: Solve for x
    x = 35,412,192.87/4,969.40
  6. Step 6: Final answer
    x = 7,126.05

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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.