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Finding the Fourth Proportional to 6,565.68, 9,846.72 and 1,948.56

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Solution

The fourth proportional to 6,565.68, 9,846.72 and 1,948.56 is: 2,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.68 : 9,846.72 = 1,948.56 : x
  2. Step 2: Convert to fraction form
    6,565.68/9,846.72 = 1,948.56/x
  3. Step 3: Cross multiply
    6,565.68x = 9,846.72 × 1,948.56
  4. Step 4: Simplify right side
    6,565.68x = 19,186,924.72
  5. Step 5: Solve for x
    x = 19,186,924.72/6,565.68
  6. Step 6: Final answer
    x = 2,922.31

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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.