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Finding the Fourth Proportional to 7,729.49, 10,655.06 and 6,047.97

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Solution

The fourth proportional to 7,729.49, 10,655.06 and 6,047.97 is: 8,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.49 : 10,655.06 = 6,047.97 : x
  2. Step 2: Convert to fraction form
    7,729.49/10,655.06 = 6,047.97/x
  3. Step 3: Cross multiply
    7,729.49x = 10,655.06 × 6,047.97
  4. Step 4: Simplify right side
    7,729.49x = 64,441,452.99
  5. Step 5: Solve for x
    x = 64,441,452.99/7,729.49
  6. Step 6: Final answer
    x = 8,337.10

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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.