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Finding the Fourth Proportional to 6,547.63, 9,035.92 and 3,563.66

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Solution

The fourth proportional to 6,547.63, 9,035.92 and 3,563.66 is: 4,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.63 : 9,035.92 = 3,563.66 : x
  2. Step 2: Convert to fraction form
    6,547.63/9,035.92 = 3,563.66/x
  3. Step 3: Cross multiply
    6,547.63x = 9,035.92 × 3,563.66
  4. Step 4: Simplify right side
    6,547.63x = 32,200,939.83
  5. Step 5: Solve for x
    x = 32,200,939.83/6,547.63
  6. Step 6: Final answer
    x = 4,917.95

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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.