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Finding the Fourth Proportional to 9,643.15, 14,446.05 and 5,470.54

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Solution

The fourth proportional to 9,643.15, 14,446.05 and 5,470.54 is: 8,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.15 : 14,446.05 = 5,470.54 : x
  2. Step 2: Convert to fraction form
    9,643.15/14,446.05 = 5,470.54/x
  3. Step 3: Cross multiply
    9,643.15x = 14,446.05 × 5,470.54
  4. Step 4: Simplify right side
    9,643.15x = 79,027,637.74
  5. Step 5: Solve for x
    x = 79,027,637.74/9,643.15
  6. Step 6: Final answer
    x = 8,195.21

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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.