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Finding the Fourth Proportional to 9,573.66, 14,361.33 and 2,648.16

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Solution

The fourth proportional to 9,573.66, 14,361.33 and 2,648.16 is: 3,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.66 : 14,361.33 = 2,648.16 : x
  2. Step 2: Convert to fraction form
    9,573.66/14,361.33 = 2,648.16/x
  3. Step 3: Cross multiply
    9,573.66x = 14,361.33 × 2,648.16
  4. Step 4: Simplify right side
    9,573.66x = 38,031,099.65
  5. Step 5: Solve for x
    x = 38,031,099.65/9,573.66
  6. Step 6: Final answer
    x = 3,972.47

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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.