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Finding the Fourth Proportional to 12,707.19, 17,542.56 and 9,868.19

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Solution

The fourth proportional to 12,707.19, 17,542.56 and 9,868.19 is: 13,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.19 : 17,542.56 = 9,868.19 : x
  2. Step 2: Convert to fraction form
    12,707.19/17,542.56 = 9,868.19/x
  3. Step 3: Cross multiply
    12,707.19x = 17,542.56 × 9,868.19
  4. Step 4: Simplify right side
    12,707.19x = 173,113,315.17
  5. Step 5: Solve for x
    x = 173,113,315.17/12,707.19
  6. Step 6: Final answer
    x = 13,623.26

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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.