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Finding the Fourth Proportional to 7,211.52, 9,953.50 and 4,689.24

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Solution

The fourth proportional to 7,211.52, 9,953.50 and 4,689.24 is: 6,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.52 : 9,953.50 = 4,689.24 : x
  2. Step 2: Convert to fraction form
    7,211.52/9,953.50 = 4,689.24/x
  3. Step 3: Cross multiply
    7,211.52x = 9,953.50 × 4,689.24
  4. Step 4: Simplify right side
    7,211.52x = 46,674,350.34
  5. Step 5: Solve for x
    x = 46,674,350.34/7,211.52
  6. Step 6: Final answer
    x = 6,472.19

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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.