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Finding the Fourth Proportional to 9,624.95, 14,436.48 and 6,524.87

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Solution

The fourth proportional to 9,624.95, 14,436.48 and 6,524.87 is: 9,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.95 : 14,436.48 = 6,524.87 : x
  2. Step 2: Convert to fraction form
    9,624.95/14,436.48 = 6,524.87/x
  3. Step 3: Cross multiply
    9,624.95x = 14,436.48 × 6,524.87
  4. Step 4: Simplify right side
    9,624.95x = 94,196,155.26
  5. Step 5: Solve for x
    x = 94,196,155.26/9,624.95
  6. Step 6: Final answer
    x = 9,786.66

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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.