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Finding the Fourth Proportional to 9,652.98, 14,503.72 and 6,144.54

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Solution

The fourth proportional to 9,652.98, 14,503.72 and 6,144.54 is: 9,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.98 : 14,503.72 = 6,144.54 : x
  2. Step 2: Convert to fraction form
    9,652.98/14,503.72 = 6,144.54/x
  3. Step 3: Cross multiply
    9,652.98x = 14,503.72 × 6,144.54
  4. Step 4: Simplify right side
    9,652.98x = 89,118,687.69
  5. Step 5: Solve for x
    x = 89,118,687.69/9,652.98
  6. Step 6: Final answer
    x = 9,232.25

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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.