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Finding the Fourth Proportional to 12,706.41, 17,534.16 and 7,041.36

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Solution

The fourth proportional to 12,706.41, 17,534.16 and 7,041.36 is: 9,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.41 : 17,534.16 = 7,041.36 : x
  2. Step 2: Convert to fraction form
    12,706.41/17,534.16 = 7,041.36/x
  3. Step 3: Cross multiply
    12,706.41x = 17,534.16 × 7,041.36
  4. Step 4: Simplify right side
    12,706.41x = 123,464,332.86
  5. Step 5: Solve for x
    x = 123,464,332.86/12,706.41
  6. Step 6: Final answer
    x = 9,716.70

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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.