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Finding the Fourth Proportional to 6,547.76, 9,036 and 3,563.60

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Solution

The fourth proportional to 6,547.76, 9,036 and 3,563.60 is: 4,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.76 : 9,036 = 3,563.60 : x
  2. Step 2: Convert to fraction form
    6,547.76/9,036 = 3,563.60/x
  3. Step 3: Cross multiply
    6,547.76x = 9,036 × 3,563.60
  4. Step 4: Simplify right side
    6,547.76x = 32,200,689.60
  5. Step 5: Solve for x
    x = 32,200,689.60/6,547.76
  6. Step 6: Final answer
    x = 4,917.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.