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Finding the Fourth Proportional to 4,969.70, 7,446.45 and 4,240.70

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Solution

The fourth proportional to 4,969.70, 7,446.45 and 4,240.70 is: 6,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.70 : 7,446.45 = 4,240.70 : x
  2. Step 2: Convert to fraction form
    4,969.70/7,446.45 = 4,240.70/x
  3. Step 3: Cross multiply
    4,969.70x = 7,446.45 × 4,240.70
  4. Step 4: Simplify right side
    4,969.70x = 31,578,160.52
  5. Step 5: Solve for x
    x = 31,578,160.52/4,969.70
  6. Step 6: Final answer
    x = 6,354.14

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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.