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Finding the Fourth Proportional to 12,347.16, 17,039.48 and 6,758.16

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Solution

The fourth proportional to 12,347.16, 17,039.48 and 6,758.16 is: 9,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.16 : 17,039.48 = 6,758.16 : x
  2. Step 2: Convert to fraction form
    12,347.16/17,039.48 = 6,758.16/x
  3. Step 3: Cross multiply
    12,347.16x = 17,039.48 × 6,758.16
  4. Step 4: Simplify right side
    12,347.16x = 115,155,532.16
  5. Step 5: Solve for x
    x = 115,155,532.16/12,347.16
  6. Step 6: Final answer
    x = 9,326.48

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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.