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Finding the Fourth Proportional to 10,297, 15,434.90 and 4,054.48

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Solution

The fourth proportional to 10,297, 15,434.90 and 4,054.48 is: 6,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297 : 15,434.90 = 4,054.48 : x
  2. Step 2: Convert to fraction form
    10,297/15,434.90 = 4,054.48/x
  3. Step 3: Cross multiply
    10,297x = 15,434.90 × 4,054.48
  4. Step 4: Simplify right side
    10,297x = 62,580,493.35
  5. Step 5: Solve for x
    x = 62,580,493.35/10,297
  6. Step 6: Final answer
    x = 6,077.55

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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.