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Finding the Fourth Proportional to 10,394.64, 15,574.36 and 6,282

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Solution

The fourth proportional to 10,394.64, 15,574.36 and 6,282 is: 9,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.64 : 15,574.36 = 6,282 : x
  2. Step 2: Convert to fraction form
    10,394.64/15,574.36 = 6,282/x
  3. Step 3: Cross multiply
    10,394.64x = 15,574.36 × 6,282
  4. Step 4: Simplify right side
    10,394.64x = 97,838,129.52
  5. Step 5: Solve for x
    x = 97,838,129.52/10,394.64
  6. Step 6: Final answer
    x = 9,412.36

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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.