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Finding the Fourth Proportional to 7,123.70, 9,827.25 and 5,023.22

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Solution

The fourth proportional to 7,123.70, 9,827.25 and 5,023.22 is: 6,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.70 : 9,827.25 = 5,023.22 : x
  2. Step 2: Convert to fraction form
    7,123.70/9,827.25 = 5,023.22/x
  3. Step 3: Cross multiply
    7,123.70x = 9,827.25 × 5,023.22
  4. Step 4: Simplify right side
    7,123.70x = 49,364,438.75
  5. Step 5: Solve for x
    x = 49,364,438.75/7,123.70
  6. Step 6: Final answer
    x = 6,929.61

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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.