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Finding the Fourth Proportional to 9,772.87, 14,648.52 and 4,506.38

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Solution

The fourth proportional to 9,772.87, 14,648.52 and 4,506.38 is: 6,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.87 : 14,648.52 = 4,506.38 : x
  2. Step 2: Convert to fraction form
    9,772.87/14,648.52 = 4,506.38/x
  3. Step 3: Cross multiply
    9,772.87x = 14,648.52 × 4,506.38
  4. Step 4: Simplify right side
    9,772.87x = 66,011,797.56
  5. Step 5: Solve for x
    x = 66,011,797.56/9,772.87
  6. Step 6: Final answer
    x = 6,754.60

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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.