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Finding the Fourth Proportional to 6,812.92, 9,404.96 and 6,547.80

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Solution

The fourth proportional to 6,812.92, 9,404.96 and 6,547.80 is: 9,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.92 : 9,404.96 = 6,547.80 : x
  2. Step 2: Convert to fraction form
    6,812.92/9,404.96 = 6,547.80/x
  3. Step 3: Cross multiply
    6,812.92x = 9,404.96 × 6,547.80
  4. Step 4: Simplify right side
    6,812.92x = 61,581,797.09
  5. Step 5: Solve for x
    x = 61,581,797.09/6,812.92
  6. Step 6: Final answer
    x = 9,038.97

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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.