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Finding the Fourth Proportional to 9,624.66, 14,430.78 and 6,327.76

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Solution

The fourth proportional to 9,624.66, 14,430.78 and 6,327.76 is: 9,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.66 : 14,430.78 = 6,327.76 : x
  2. Step 2: Convert to fraction form
    9,624.66/14,430.78 = 6,327.76/x
  3. Step 3: Cross multiply
    9,624.66x = 14,430.78 × 6,327.76
  4. Step 4: Simplify right side
    9,624.66x = 91,314,512.45
  5. Step 5: Solve for x
    x = 91,314,512.45/9,624.66
  6. Step 6: Final answer
    x = 9,487.56

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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.