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Finding the Fourth Proportional to 12,814.54, 17,681.05 and 7,778.64

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Solution

The fourth proportional to 12,814.54, 17,681.05 and 7,778.64 is: 10,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.54 : 17,681.05 = 7,778.64 : x
  2. Step 2: Convert to fraction form
    12,814.54/17,681.05 = 7,778.64/x
  3. Step 3: Cross multiply
    12,814.54x = 17,681.05 × 7,778.64
  4. Step 4: Simplify right side
    12,814.54x = 137,534,395.47
  5. Step 5: Solve for x
    x = 137,534,395.47/12,814.54
  6. Step 6: Final answer
    x = 10,732.68

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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.