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Finding the Fourth Proportional to 10,348, 15,525.06 and 5,968.60

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Solution

The fourth proportional to 10,348, 15,525.06 and 5,968.60 is: 8,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348 : 15,525.06 = 5,968.60 : x
  2. Step 2: Convert to fraction form
    10,348/15,525.06 = 5,968.60/x
  3. Step 3: Cross multiply
    10,348x = 15,525.06 × 5,968.60
  4. Step 4: Simplify right side
    10,348x = 92,662,873.12
  5. Step 5: Solve for x
    x = 92,662,873.12/10,348
  6. Step 6: Final answer
    x = 8,954.66

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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.