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Finding the Fourth Proportional to 6,671.53, 10,007.48 and 1,741.06

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Solution

The fourth proportional to 6,671.53, 10,007.48 and 1,741.06 is: 2,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.53 : 10,007.48 = 1,741.06 : x
  2. Step 2: Convert to fraction form
    6,671.53/10,007.48 = 1,741.06/x
  3. Step 3: Cross multiply
    6,671.53x = 10,007.48 × 1,741.06
  4. Step 4: Simplify right side
    6,671.53x = 17,423,614.42
  5. Step 5: Solve for x
    x = 17,423,614.42/6,671.53
  6. Step 6: Final answer
    x = 2,611.64

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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.