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Finding the Fourth Proportional to 6,547.80, 9,821.50 and 1,617.48

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Solution

The fourth proportional to 6,547.80, 9,821.50 and 1,617.48 is: 2,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.80 : 9,821.50 = 1,617.48 : x
  2. Step 2: Convert to fraction form
    6,547.80/9,821.50 = 1,617.48/x
  3. Step 3: Cross multiply
    6,547.80x = 9,821.50 × 1,617.48
  4. Step 4: Simplify right side
    6,547.80x = 15,886,079.82
  5. Step 5: Solve for x
    x = 15,886,079.82/6,547.80
  6. Step 6: Final answer
    x = 2,426.17

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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.