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Finding the Fourth Proportional to 6,974.70, 10,463.70 and 5,030.70

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Solution

The fourth proportional to 6,974.70, 10,463.70 and 5,030.70 is: 7,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.70 : 10,463.70 = 5,030.70 : x
  2. Step 2: Convert to fraction form
    6,974.70/10,463.70 = 5,030.70/x
  3. Step 3: Cross multiply
    6,974.70x = 10,463.70 × 5,030.70
  4. Step 4: Simplify right side
    6,974.70x = 52,639,735.59
  5. Step 5: Solve for x
    x = 52,639,735.59/6,974.70
  6. Step 6: Final answer
    x = 7,547.24

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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.