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Finding the Fourth Proportional to 6,547.91, 9,035.84 and 3,563.75

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Solution

The fourth proportional to 6,547.91, 9,035.84 and 3,563.75 is: 4,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.91 : 9,035.84 = 3,563.75 : x
  2. Step 2: Convert to fraction form
    6,547.91/9,035.84 = 3,563.75/x
  3. Step 3: Cross multiply
    6,547.91x = 9,035.84 × 3,563.75
  4. Step 4: Simplify right side
    6,547.91x = 32,201,474.80
  5. Step 5: Solve for x
    x = 32,201,474.80/6,547.91
  6. Step 6: Final answer
    x = 4,917.82

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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.