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Finding the Fourth Proportional to 8,641.46, 12,975.16 and 4,947.86

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Solution

The fourth proportional to 8,641.46, 12,975.16 and 4,947.86 is: 7,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.46 : 12,975.16 = 4,947.86 : x
  2. Step 2: Convert to fraction form
    8,641.46/12,975.16 = 4,947.86/x
  3. Step 3: Cross multiply
    8,641.46x = 12,975.16 × 4,947.86
  4. Step 4: Simplify right side
    8,641.46x = 64,199,275.16
  5. Step 5: Solve for x
    x = 64,199,275.16/8,641.46
  6. Step 6: Final answer
    x = 7,429.22

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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.