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Finding the Fourth Proportional to 9,830.57, 13,560.18 and 9,174.47

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Solution

The fourth proportional to 9,830.57, 13,560.18 and 9,174.47 is: 12,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.57 : 13,560.18 = 9,174.47 : x
  2. Step 2: Convert to fraction form
    9,830.57/13,560.18 = 9,174.47/x
  3. Step 3: Cross multiply
    9,830.57x = 13,560.18 × 9,174.47
  4. Step 4: Simplify right side
    9,830.57x = 124,407,464.60
  5. Step 5: Solve for x
    x = 124,407,464.60/9,830.57
  6. Step 6: Final answer
    x = 12,655.16

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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.