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Finding the Fourth Proportional to 6,547.61, 9,035.68 and 3,563.44

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Solution

The fourth proportional to 6,547.61, 9,035.68 and 3,563.44 is: 4,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.61 : 9,035.68 = 3,563.44 : x
  2. Step 2: Convert to fraction form
    6,547.61/9,035.68 = 3,563.44/x
  3. Step 3: Cross multiply
    6,547.61x = 9,035.68 × 3,563.44
  4. Step 4: Simplify right side
    6,547.61x = 32,198,129.55
  5. Step 5: Solve for x
    x = 32,198,129.55/6,547.61
  6. Step 6: Final answer
    x = 4,917.54

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1.5x scale

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.