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Finding the Fourth Proportional to 9,849, 13,591.80 and 5,658.24

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Solution

The fourth proportional to 9,849, 13,591.80 and 5,658.24 is: 7,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849 : 13,591.80 = 5,658.24 : x
  2. Step 2: Convert to fraction form
    9,849/13,591.80 = 5,658.24/x
  3. Step 3: Cross multiply
    9,849x = 13,591.80 × 5,658.24
  4. Step 4: Simplify right side
    9,849x = 76,905,666.43
  5. Step 5: Solve for x
    x = 76,905,666.43/9,849
  6. Step 6: Final answer
    x = 7,808.47

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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.