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Finding the Fourth Proportional to 6,549.46, 9,037.46 and 3,717.16

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Solution

The fourth proportional to 6,549.46, 9,037.46 and 3,717.16 is: 5,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.46 : 9,037.46 = 3,717.16 : x
  2. Step 2: Convert to fraction form
    6,549.46/9,037.46 = 3,717.16/x
  3. Step 3: Cross multiply
    6,549.46x = 9,037.46 × 3,717.16
  4. Step 4: Simplify right side
    6,549.46x = 33,593,684.81
  5. Step 5: Solve for x
    x = 33,593,684.81/6,549.46
  6. Step 6: Final answer
    x = 5,129.23

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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.