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Finding the Fourth Proportional to 7,572.88, 10,451.46 and 4,429

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Solution

The fourth proportional to 7,572.88, 10,451.46 and 4,429 is: 6,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.88 : 10,451.46 = 4,429 : x
  2. Step 2: Convert to fraction form
    7,572.88/10,451.46 = 4,429/x
  3. Step 3: Cross multiply
    7,572.88x = 10,451.46 × 4,429
  4. Step 4: Simplify right side
    7,572.88x = 46,289,516.34
  5. Step 5: Solve for x
    x = 46,289,516.34/7,572.88
  6. Step 6: Final answer
    x = 6,112.54

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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.