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Finding the Fourth Proportional to 12,283.74, 16,951.47 and 6,978.55

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Solution

The fourth proportional to 12,283.74, 16,951.47 and 6,978.55 is: 9,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.74 : 16,951.47 = 6,978.55 : x
  2. Step 2: Convert to fraction form
    12,283.74/16,951.47 = 6,978.55/x
  3. Step 3: Cross multiply
    12,283.74x = 16,951.47 × 6,978.55
  4. Step 4: Simplify right side
    12,283.74x = 118,296,646.08
  5. Step 5: Solve for x
    x = 118,296,646.08/12,283.74
  6. Step 6: Final answer
    x = 9,630.35

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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.