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Finding the Fourth Proportional to 8,927.97, 12,320.47 and 5,151.14

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Solution

The fourth proportional to 8,927.97, 12,320.47 and 5,151.14 is: 7,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.97 : 12,320.47 = 5,151.14 : x
  2. Step 2: Convert to fraction form
    8,927.97/12,320.47 = 5,151.14/x
  3. Step 3: Cross multiply
    8,927.97x = 12,320.47 × 5,151.14
  4. Step 4: Simplify right side
    8,927.97x = 63,464,465.84
  5. Step 5: Solve for x
    x = 63,464,465.84/8,927.97
  6. Step 6: Final answer
    x = 7,108.50

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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.