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Finding the Fourth Proportional to 7,116.74, 9,821.70 and 3,930.32

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Solution

The fourth proportional to 7,116.74, 9,821.70 and 3,930.32 is: 5,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.74 : 9,821.70 = 3,930.32 : x
  2. Step 2: Convert to fraction form
    7,116.74/9,821.70 = 3,930.32/x
  3. Step 3: Cross multiply
    7,116.74x = 9,821.70 × 3,930.32
  4. Step 4: Simplify right side
    7,116.74x = 38,602,423.94
  5. Step 5: Solve for x
    x = 38,602,423.94/7,116.74
  6. Step 6: Final answer
    x = 5,424.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.