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Finding the Fourth Proportional to 9,752.00, 14,624.96 and 3,177.23

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Solution

The fourth proportional to 9,752.00, 14,624.96 and 3,177.23 is: 4,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.00 : 14,624.96 = 3,177.23 : x
  2. Step 2: Convert to fraction form
    9,752.00/14,624.96 = 3,177.23/x
  3. Step 3: Cross multiply
    9,752.00x = 14,624.96 × 3,177.23
  4. Step 4: Simplify right side
    9,752.00x = 46,466,772.65
  5. Step 5: Solve for x
    x = 46,466,772.65/9,752.00
  6. Step 6: Final answer
    x = 4,764.85

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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.