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Finding the Fourth Proportional to 6,499.96, 9,749.92 and 1,569.60

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Solution

The fourth proportional to 6,499.96, 9,749.92 and 1,569.60 is: 2,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.96 : 9,749.92 = 1,569.60 : x
  2. Step 2: Convert to fraction form
    6,499.96/9,749.92 = 1,569.60/x
  3. Step 3: Cross multiply
    6,499.96x = 9,749.92 × 1,569.60
  4. Step 4: Simplify right side
    6,499.96x = 15,303,474.43
  5. Step 5: Solve for x
    x = 15,303,474.43/6,499.96
  6. Step 6: Final answer
    x = 2,354.40

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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.