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Finding the Fourth Proportional to 7,124.13, 9,827.22 and 4,139.58

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Solution

The fourth proportional to 7,124.13, 9,827.22 and 4,139.58 is: 5,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.13 : 9,827.22 = 4,139.58 : x
  2. Step 2: Convert to fraction form
    7,124.13/9,827.22 = 4,139.58/x
  3. Step 3: Cross multiply
    7,124.13x = 9,827.22 × 4,139.58
  4. Step 4: Simplify right side
    7,124.13x = 40,680,563.37
  5. Step 5: Solve for x
    x = 40,680,563.37/7,124.13
  6. Step 6: Final answer
    x = 5,710.25

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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.