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Finding the Fourth Proportional to 9,648.59, 14,471.90 and 6,548.52

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Solution

The fourth proportional to 9,648.59, 14,471.90 and 6,548.52 is: 9,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.59 : 14,471.90 = 6,548.52 : x
  2. Step 2: Convert to fraction form
    9,648.59/14,471.90 = 6,548.52/x
  3. Step 3: Cross multiply
    9,648.59x = 14,471.90 × 6,548.52
  4. Step 4: Simplify right side
    9,648.59x = 94,769,470.60
  5. Step 5: Solve for x
    x = 94,769,470.60/9,648.59
  6. Step 6: Final answer
    x = 9,822.11

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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.