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Finding the Fourth Proportional to 12,301.95, 16,978.13 and 6,997.56

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Solution

The fourth proportional to 12,301.95, 16,978.13 and 6,997.56 is: 9,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.95 : 16,978.13 = 6,997.56 : x
  2. Step 2: Convert to fraction form
    12,301.95/16,978.13 = 6,997.56/x
  3. Step 3: Cross multiply
    12,301.95x = 16,978.13 × 6,997.56
  4. Step 4: Simplify right side
    12,301.95x = 118,805,483.36
  5. Step 5: Solve for x
    x = 118,805,483.36/12,301.95
  6. Step 6: Final answer
    x = 9,657.45

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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.