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Finding the Fourth Proportional to 6,570.64, 9,856.76 and 2,674.52

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Solution

The fourth proportional to 6,570.64, 9,856.76 and 2,674.52 is: 4,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.64 : 9,856.76 = 2,674.52 : x
  2. Step 2: Convert to fraction form
    6,570.64/9,856.76 = 2,674.52/x
  3. Step 3: Cross multiply
    6,570.64x = 9,856.76 × 2,674.52
  4. Step 4: Simplify right side
    6,570.64x = 26,362,101.76
  5. Step 5: Solve for x
    x = 26,362,101.76/6,570.64
  6. Step 6: Final answer
    x = 4,012.11

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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.