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Finding the Fourth Proportional to 6,407.64, 9,606.60 and 5,319

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Solution

The fourth proportional to 6,407.64, 9,606.60 and 5,319 is: 7,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.64 : 9,606.60 = 5,319 : x
  2. Step 2: Convert to fraction form
    6,407.64/9,606.60 = 5,319/x
  3. Step 3: Cross multiply
    6,407.64x = 9,606.60 × 5,319
  4. Step 4: Simplify right side
    6,407.64x = 51,097,505.40
  5. Step 5: Solve for x
    x = 51,097,505.40/6,407.64
  6. Step 6: Final answer
    x = 7,974.47

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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.