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Finding the Fourth Proportional to 9,641.52, 14,450.44 and 5,485

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Solution

The fourth proportional to 9,641.52, 14,450.44 and 5,485 is: 8,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.52 : 14,450.44 = 5,485 : x
  2. Step 2: Convert to fraction form
    9,641.52/14,450.44 = 5,485/x
  3. Step 3: Cross multiply
    9,641.52x = 14,450.44 × 5,485
  4. Step 4: Simplify right side
    9,641.52x = 79,260,663.40
  5. Step 5: Solve for x
    x = 79,260,663.40/9,641.52
  6. Step 6: Final answer
    x = 8,220.76

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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.