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Finding the Fourth Proportional to 6,581.78, 9,084.93 and 6,362.90

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Solution

The fourth proportional to 6,581.78, 9,084.93 and 6,362.90 is: 8,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.78 : 9,084.93 = 6,362.90 : x
  2. Step 2: Convert to fraction form
    6,581.78/9,084.93 = 6,362.90/x
  3. Step 3: Cross multiply
    6,581.78x = 9,084.93 × 6,362.90
  4. Step 4: Simplify right side
    6,581.78x = 57,806,501.10
  5. Step 5: Solve for x
    x = 57,806,501.10/6,581.78
  6. Step 6: Final answer
    x = 8,782.81

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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.