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Finding the Fourth Proportional to 7,805.01, 10,772.82 and 6,544.07

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Solution

The fourth proportional to 7,805.01, 10,772.82 and 6,544.07 is: 9,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.01 : 10,772.82 = 6,544.07 : x
  2. Step 2: Convert to fraction form
    7,805.01/10,772.82 = 6,544.07/x
  3. Step 3: Cross multiply
    7,805.01x = 10,772.82 × 6,544.07
  4. Step 4: Simplify right side
    7,805.01x = 70,498,088.18
  5. Step 5: Solve for x
    x = 70,498,088.18/7,805.01
  6. Step 6: Final answer
    x = 9,032.41

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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.