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Finding the Fourth Proportional to 8,969.52, 12,378.34 and 7,474.93

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Solution

The fourth proportional to 8,969.52, 12,378.34 and 7,474.93 is: 10,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.52 : 12,378.34 = 7,474.93 : x
  2. Step 2: Convert to fraction form
    8,969.52/12,378.34 = 7,474.93/x
  3. Step 3: Cross multiply
    8,969.52x = 12,378.34 × 7,474.93
  4. Step 4: Simplify right side
    8,969.52x = 92,527,225.02
  5. Step 5: Solve for x
    x = 92,527,225.02/8,969.52
  6. Step 6: Final answer
    x = 10,315.74

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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.