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Finding the Fourth Proportional to 9,294.88, 12,822.60 and 5,756.80

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Solution

The fourth proportional to 9,294.88, 12,822.60 and 5,756.80 is: 7,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.88 : 12,822.60 = 5,756.80 : x
  2. Step 2: Convert to fraction form
    9,294.88/12,822.60 = 5,756.80/x
  3. Step 3: Cross multiply
    9,294.88x = 12,822.60 × 5,756.80
  4. Step 4: Simplify right side
    9,294.88x = 73,817,143.68
  5. Step 5: Solve for x
    x = 73,817,143.68/9,294.88
  6. Step 6: Final answer
    x = 7,941.70

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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.