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Finding the Fourth Proportional to 6,706.53, 10,078.02 and 3,588.84

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Solution

The fourth proportional to 6,706.53, 10,078.02 and 3,588.84 is: 5,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.53 : 10,078.02 = 3,588.84 : x
  2. Step 2: Convert to fraction form
    6,706.53/10,078.02 = 3,588.84/x
  3. Step 3: Cross multiply
    6,706.53x = 10,078.02 × 3,588.84
  4. Step 4: Simplify right side
    6,706.53x = 36,168,401.30
  5. Step 5: Solve for x
    x = 36,168,401.30/6,706.53
  6. Step 6: Final answer
    x = 5,393.01

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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.