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Finding the Fourth Proportional to 9,851.12, 13,593.12 and 5,658.56

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Solution

The fourth proportional to 9,851.12, 13,593.12 and 5,658.56 is: 7,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.12 : 13,593.12 = 5,658.56 : x
  2. Step 2: Convert to fraction form
    9,851.12/13,593.12 = 5,658.56/x
  3. Step 3: Cross multiply
    9,851.12x = 13,593.12 × 5,658.56
  4. Step 4: Simplify right side
    9,851.12x = 76,917,485.11
  5. Step 5: Solve for x
    x = 76,917,485.11/9,851.12
  6. Step 6: Final answer
    x = 7,807.99

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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.