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Finding the Fourth Proportional to 12,476.16, 17,231.94 and 9,113.58

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Solution

The fourth proportional to 12,476.16, 17,231.94 and 9,113.58 is: 12,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.16 : 17,231.94 = 9,113.58 : x
  2. Step 2: Convert to fraction form
    12,476.16/17,231.94 = 9,113.58/x
  3. Step 3: Cross multiply
    12,476.16x = 17,231.94 × 9,113.58
  4. Step 4: Simplify right side
    12,476.16x = 157,044,663.75
  5. Step 5: Solve for x
    x = 157,044,663.75/12,476.16
  6. Step 6: Final answer
    x = 12,587.58

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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.