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Finding the Fourth Proportional to 9,672.75, 13,348.40 and 5,256.75

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Solution

The fourth proportional to 9,672.75, 13,348.40 and 5,256.75 is: 7,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.75 : 13,348.40 = 5,256.75 : x
  2. Step 2: Convert to fraction form
    9,672.75/13,348.40 = 5,256.75/x
  3. Step 3: Cross multiply
    9,672.75x = 13,348.40 × 5,256.75
  4. Step 4: Simplify right side
    9,672.75x = 70,169,175.42
  5. Step 5: Solve for x
    x = 70,169,175.42/9,672.75
  6. Step 6: Final answer
    x = 7,254.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.