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Finding the Fourth Proportional to 6,504.64, 9,740.36 and 3,579.76

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Solution

The fourth proportional to 6,504.64, 9,740.36 and 3,579.76 is: 5,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.64 : 9,740.36 = 3,579.76 : x
  2. Step 2: Convert to fraction form
    6,504.64/9,740.36 = 3,579.76/x
  3. Step 3: Cross multiply
    6,504.64x = 9,740.36 × 3,579.76
  4. Step 4: Simplify right side
    6,504.64x = 34,868,151.11
  5. Step 5: Solve for x
    x = 34,868,151.11/6,504.64
  6. Step 6: Final answer
    x = 5,360.50

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1.5x scale

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.