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Finding the Fourth Proportional to 6,547.60, 9,823.80 and 2,652.40

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Solution

The fourth proportional to 6,547.60, 9,823.80 and 2,652.40 is: 3,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.60 : 9,823.80 = 2,652.40 : x
  2. Step 2: Convert to fraction form
    6,547.60/9,823.80 = 2,652.40/x
  3. Step 3: Cross multiply
    6,547.60x = 9,823.80 × 2,652.40
  4. Step 4: Simplify right side
    6,547.60x = 26,056,647.12
  5. Step 5: Solve for x
    x = 26,056,647.12/6,547.60
  6. Step 6: Final answer
    x = 3,979.57

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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.