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Finding the Fourth Proportional to 6,701.80, 10,052.70 and 6,417.40

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Solution

The fourth proportional to 6,701.80, 10,052.70 and 6,417.40 is: 9,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.80 : 10,052.70 = 6,417.40 : x
  2. Step 2: Convert to fraction form
    6,701.80/10,052.70 = 6,417.40/x
  3. Step 3: Cross multiply
    6,701.80x = 10,052.70 × 6,417.40
  4. Step 4: Simplify right side
    6,701.80x = 64,512,196.98
  5. Step 5: Solve for x
    x = 64,512,196.98/6,701.80
  6. Step 6: Final answer
    x = 9,626.10

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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.