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Finding the Fourth Proportional to 9,648.64, 14,466.48 and 4,719.52

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Solution

The fourth proportional to 9,648.64, 14,466.48 and 4,719.52 is: 7,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.64 : 14,466.48 = 4,719.52 : x
  2. Step 2: Convert to fraction form
    9,648.64/14,466.48 = 4,719.52/x
  3. Step 3: Cross multiply
    9,648.64x = 14,466.48 × 4,719.52
  4. Step 4: Simplify right side
    9,648.64x = 68,274,841.69
  5. Step 5: Solve for x
    x = 68,274,841.69/9,648.64
  6. Step 6: Final answer
    x = 7,076.11

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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.