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Finding the Fourth Proportional to 6,496.85, 9,749.00 and 6,444.00

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Solution

The fourth proportional to 6,496.85, 9,749.00 and 6,444.00 is: 9,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.85 : 9,749.00 = 6,444.00 : x
  2. Step 2: Convert to fraction form
    6,496.85/9,749.00 = 6,444.00/x
  3. Step 3: Cross multiply
    6,496.85x = 9,749.00 × 6,444.00
  4. Step 4: Simplify right side
    6,496.85x = 62,822,526.57
  5. Step 5: Solve for x
    x = 62,822,526.57/6,496.85
  6. Step 6: Final answer
    x = 9,669.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.