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Finding the Fourth Proportional to 7,196.88, 9,932.58 and 4,053

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Solution

The fourth proportional to 7,196.88, 9,932.58 and 4,053 is: 5,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.88 : 9,932.58 = 4,053 : x
  2. Step 2: Convert to fraction form
    7,196.88/9,932.58 = 4,053/x
  3. Step 3: Cross multiply
    7,196.88x = 9,932.58 × 4,053
  4. Step 4: Simplify right side
    7,196.88x = 40,256,746.74
  5. Step 5: Solve for x
    x = 40,256,746.74/7,196.88
  6. Step 6: Final answer
    x = 5,593.64

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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.