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Finding the Fourth Proportional to 7,969.04, 10,997.40 and 4,432.40

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Solution

The fourth proportional to 7,969.04, 10,997.40 and 4,432.40 is: 6,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.04 : 10,997.40 = 4,432.40 : x
  2. Step 2: Convert to fraction form
    7,969.04/10,997.40 = 4,432.40/x
  3. Step 3: Cross multiply
    7,969.04x = 10,997.40 × 4,432.40
  4. Step 4: Simplify right side
    7,969.04x = 48,744,875.76
  5. Step 5: Solve for x
    x = 48,744,875.76/7,969.04
  6. Step 6: Final answer
    x = 6,116.78

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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.