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Finding the Fourth Proportional to 12,559.86, 17,332.94 and 6,894.97

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Solution

The fourth proportional to 12,559.86, 17,332.94 and 6,894.97 is: 9,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.86 : 17,332.94 = 6,894.97 : x
  2. Step 2: Convert to fraction form
    12,559.86/17,332.94 = 6,894.97/x
  3. Step 3: Cross multiply
    12,559.86x = 17,332.94 × 6,894.97
  4. Step 4: Simplify right side
    12,559.86x = 119,510,133.93
  5. Step 5: Solve for x
    x = 119,510,133.93/12,559.86
  6. Step 6: Final answer
    x = 9,515.24

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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.