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Finding the Fourth Proportional to 10,959.84, 15,124.65 and 5,924.05

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Solution

The fourth proportional to 10,959.84, 15,124.65 and 5,924.05 is: 8,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.84 : 15,124.65 = 5,924.05 : x
  2. Step 2: Convert to fraction form
    10,959.84/15,124.65 = 5,924.05/x
  3. Step 3: Cross multiply
    10,959.84x = 15,124.65 × 5,924.05
  4. Step 4: Simplify right side
    10,959.84x = 89,599,077.59
  5. Step 5: Solve for x
    x = 89,599,077.59/10,959.84
  6. Step 6: Final answer
    x = 8,175.22

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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.