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Finding the Fourth Proportional to 6,547.60, 9,809.40 and 3,077.20

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Solution

The fourth proportional to 6,547.60, 9,809.40 and 3,077.20 is: 4,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.60 : 9,809.40 = 3,077.20 : x
  2. Step 2: Convert to fraction form
    6,547.60/9,809.40 = 3,077.20/x
  3. Step 3: Cross multiply
    6,547.60x = 9,809.40 × 3,077.20
  4. Step 4: Simplify right side
    6,547.60x = 30,185,485.68
  5. Step 5: Solve for x
    x = 30,185,485.68/6,547.60
  6. Step 6: Final answer
    x = 4,610.16

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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.