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Finding the Fourth Proportional to 5,973.76, 8,951.52 and 2,509.12

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Solution

The fourth proportional to 5,973.76, 8,951.52 and 2,509.12 is: 3,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.76 : 8,951.52 = 2,509.12 : x
  2. Step 2: Convert to fraction form
    5,973.76/8,951.52 = 2,509.12/x
  3. Step 3: Cross multiply
    5,973.76x = 8,951.52 × 2,509.12
  4. Step 4: Simplify right side
    5,973.76x = 22,460,437.86
  5. Step 5: Solve for x
    x = 22,460,437.86/5,973.76
  6. Step 6: Final answer
    x = 3,759.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.