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Finding the Fourth Proportional to 6,506.64, 9,744.84 and 6,100.56

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Solution

The fourth proportional to 6,506.64, 9,744.84 and 6,100.56 is: 9,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.64 : 9,744.84 = 6,100.56 : x
  2. Step 2: Convert to fraction form
    6,506.64/9,744.84 = 6,100.56/x
  3. Step 3: Cross multiply
    6,506.64x = 9,744.84 × 6,100.56
  4. Step 4: Simplify right side
    6,506.64x = 59,448,981.11
  5. Step 5: Solve for x
    x = 59,448,981.11/6,506.64
  6. Step 6: Final answer
    x = 9,136.66

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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.