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Finding the Fourth Proportional to 6,505.16, 9,757.70 and 1,574.79

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Solution

The fourth proportional to 6,505.16, 9,757.70 and 1,574.79 is: 2,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.16 : 9,757.70 = 1,574.79 : x
  2. Step 2: Convert to fraction form
    6,505.16/9,757.70 = 1,574.79/x
  3. Step 3: Cross multiply
    6,505.16x = 9,757.70 × 1,574.79
  4. Step 4: Simplify right side
    6,505.16x = 15,366,320.51
  5. Step 5: Solve for x
    x = 15,366,320.51/6,505.16
  6. Step 6: Final answer
    x = 2,362.18

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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.