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Finding the Fourth Proportional to 12,602.18, 17,391.12 and 7,013.18

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Solution

The fourth proportional to 12,602.18, 17,391.12 and 7,013.18 is: 9,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.18 : 17,391.12 = 7,013.18 : x
  2. Step 2: Convert to fraction form
    12,602.18/17,391.12 = 7,013.18/x
  3. Step 3: Cross multiply
    12,602.18x = 17,391.12 × 7,013.18
  4. Step 4: Simplify right side
    12,602.18x = 121,967,054.96
  5. Step 5: Solve for x
    x = 121,967,054.96/12,602.18
  6. Step 6: Final answer
    x = 9,678.25

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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.