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Finding the Fourth Proportional to 10,397, 15,595.62 and 3,001.54

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Solution

The fourth proportional to 10,397, 15,595.62 and 3,001.54 is: 4,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397 : 15,595.62 = 3,001.54 : x
  2. Step 2: Convert to fraction form
    10,397/15,595.62 = 3,001.54/x
  3. Step 3: Cross multiply
    10,397x = 15,595.62 × 3,001.54
  4. Step 4: Simplify right side
    10,397x = 46,810,877.25
  5. Step 5: Solve for x
    x = 46,810,877.25/10,397
  6. Step 6: Final answer
    x = 4,502.34

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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.