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Finding the Fourth Proportional to 7,053.92, 9,738.96 and 4,402.40

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Solution

The fourth proportional to 7,053.92, 9,738.96 and 4,402.40 is: 6,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.92 : 9,738.96 = 4,402.40 : x
  2. Step 2: Convert to fraction form
    7,053.92/9,738.96 = 4,402.40/x
  3. Step 3: Cross multiply
    7,053.92x = 9,738.96 × 4,402.40
  4. Step 4: Simplify right side
    7,053.92x = 42,874,797.50
  5. Step 5: Solve for x
    x = 42,874,797.50/7,053.92
  6. Step 6: Final answer
    x = 6,078.15

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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.