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Finding the Fourth Proportional to 10,182.88, 14,053.04 and 5,706.48

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Solution

The fourth proportional to 10,182.88, 14,053.04 and 5,706.48 is: 7,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.88 : 14,053.04 = 5,706.48 : x
  2. Step 2: Convert to fraction form
    10,182.88/14,053.04 = 5,706.48/x
  3. Step 3: Cross multiply
    10,182.88x = 14,053.04 × 5,706.48
  4. Step 4: Simplify right side
    10,182.88x = 80,193,391.70
  5. Step 5: Solve for x
    x = 80,193,391.70/10,182.88
  6. Step 6: Final answer
    x = 7,875.32

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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.