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Finding the Fourth Proportional to 7,959.47, 10,984.52 and 4,422.65

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Solution

The fourth proportional to 7,959.47, 10,984.52 and 4,422.65 is: 6,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.47 : 10,984.52 = 4,422.65 : x
  2. Step 2: Convert to fraction form
    7,959.47/10,984.52 = 4,422.65/x
  3. Step 3: Cross multiply
    7,959.47x = 10,984.52 × 4,422.65
  4. Step 4: Simplify right side
    7,959.47x = 48,580,643.51
  5. Step 5: Solve for x
    x = 48,580,643.51/7,959.47
  6. Step 6: Final answer
    x = 6,103.51

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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.