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Finding the Fourth Proportional to 12,430, 17,154.48 and 6,842.08

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Solution

The fourth proportional to 12,430, 17,154.48 and 6,842.08 is: 9,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430 : 17,154.48 = 6,842.08 : x
  2. Step 2: Convert to fraction form
    12,430/17,154.48 = 6,842.08/x
  3. Step 3: Cross multiply
    12,430x = 17,154.48 × 6,842.08
  4. Step 4: Simplify right side
    12,430x = 117,372,324.52
  5. Step 5: Solve for x
    x = 117,372,324.52/12,430
  6. Step 6: Final answer
    x = 9,442.66

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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.