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Finding the Fourth Proportional to 12,401.93, 17,101.80 and 9,569.77

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Solution

The fourth proportional to 12,401.93, 17,101.80 and 9,569.77 is: 13,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.93 : 17,101.80 = 9,569.77 : x
  2. Step 2: Convert to fraction form
    12,401.93/17,101.80 = 9,569.77/x
  3. Step 3: Cross multiply
    12,401.93x = 17,101.80 × 9,569.77
  4. Step 4: Simplify right side
    12,401.93x = 163,660,249.83
  5. Step 5: Solve for x
    x = 163,660,249.83/12,401.93
  6. Step 6: Final answer
    x = 13,196.35

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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.