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Finding the Fourth Proportional to 4,343, 6,514.68 and 1,265

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Solution

The fourth proportional to 4,343, 6,514.68 and 1,265 is: 1,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343 : 6,514.68 = 1,265 : x
  2. Step 2: Convert to fraction form
    4,343/6,514.68 = 1,265/x
  3. Step 3: Cross multiply
    4,343x = 6,514.68 × 1,265
  4. Step 4: Simplify right side
    4,343x = 8,241,070.20
  5. Step 5: Solve for x
    x = 8,241,070.20/4,343
  6. Step 6: Final answer
    x = 1,897.55

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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.