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Finding the Fourth Proportional to 6,709.35, 10,065.61 and 6,597.78

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Solution

The fourth proportional to 6,709.35, 10,065.61 and 6,597.78 is: 9,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.35 : 10,065.61 = 6,597.78 : x
  2. Step 2: Convert to fraction form
    6,709.35/10,065.61 = 6,597.78/x
  3. Step 3: Cross multiply
    6,709.35x = 10,065.61 × 6,597.78
  4. Step 4: Simplify right side
    6,709.35x = 66,410,705.51
  5. Step 5: Solve for x
    x = 66,410,705.51/6,709.35
  6. Step 6: Final answer
    x = 9,898.23

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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.