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Finding the Fourth Proportional to 6,565.72, 9,848.56 and 1,948.72

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Solution

The fourth proportional to 6,565.72, 9,848.56 and 1,948.72 is: 2,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.72 : 9,848.56 = 1,948.72 : x
  2. Step 2: Convert to fraction form
    6,565.72/9,848.56 = 1,948.72/x
  3. Step 3: Cross multiply
    6,565.72x = 9,848.56 × 1,948.72
  4. Step 4: Simplify right side
    6,565.72x = 19,192,026.86
  5. Step 5: Solve for x
    x = 19,192,026.86/6,565.72
  6. Step 6: Final answer
    x = 2,923.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.