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Finding the Fourth Proportional to 12,827.02, 17,708.65 and 9,778.21

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Solution

The fourth proportional to 12,827.02, 17,708.65 and 9,778.21 is: 13,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.02 : 17,708.65 = 9,778.21 : x
  2. Step 2: Convert to fraction form
    12,827.02/17,708.65 = 9,778.21/x
  3. Step 3: Cross multiply
    12,827.02x = 17,708.65 × 9,778.21
  4. Step 4: Simplify right side
    12,827.02x = 173,158,898.52
  5. Step 5: Solve for x
    x = 173,158,898.52/12,827.02
  6. Step 6: Final answer
    x = 13,499.54

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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.