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Finding the Fourth Proportional to 6,522.82, 9,785 and 2,364.78

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Solution

The fourth proportional to 6,522.82, 9,785 and 2,364.78 is: 3,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.82 : 9,785 = 2,364.78 : x
  2. Step 2: Convert to fraction form
    6,522.82/9,785 = 2,364.78/x
  3. Step 3: Cross multiply
    6,522.82x = 9,785 × 2,364.78
  4. Step 4: Simplify right side
    6,522.82x = 23,139,372.30
  5. Step 5: Solve for x
    x = 23,139,372.30/6,522.82
  6. Step 6: Final answer
    x = 3,547.45

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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.