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Finding the Fourth Proportional to 12,453.61, 17,185.98 and 6,864.61

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Solution

The fourth proportional to 12,453.61, 17,185.98 and 6,864.61 is: 9,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.61 : 17,185.98 = 6,864.61 : x
  2. Step 2: Convert to fraction form
    12,453.61/17,185.98 = 6,864.61/x
  3. Step 3: Cross multiply
    12,453.61x = 17,185.98 × 6,864.61
  4. Step 4: Simplify right side
    12,453.61x = 117,975,050.17
  5. Step 5: Solve for x
    x = 117,975,050.17/12,453.61
  6. Step 6: Final answer
    x = 9,473.16

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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.