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Finding the Fourth Proportional to 12,564.95, 17,339.61 and 6,975.95

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Solution

The fourth proportional to 12,564.95, 17,339.61 and 6,975.95 is: 9,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.95 : 17,339.61 = 6,975.95 : x
  2. Step 2: Convert to fraction form
    12,564.95/17,339.61 = 6,975.95/x
  3. Step 3: Cross multiply
    12,564.95x = 17,339.61 × 6,975.95
  4. Step 4: Simplify right side
    12,564.95x = 120,960,165.68
  5. Step 5: Solve for x
    x = 120,960,165.68/12,564.95
  6. Step 6: Final answer
    x = 9,626.80

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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.