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Finding the Fourth Proportional to 6,703.70, 10,006.74 and 6,209.60

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Solution

The fourth proportional to 6,703.70, 10,006.74 and 6,209.60 is: 9,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.70 : 10,006.74 = 6,209.60 : x
  2. Step 2: Convert to fraction form
    6,703.70/10,006.74 = 6,209.60/x
  3. Step 3: Cross multiply
    6,703.70x = 10,006.74 × 6,209.60
  4. Step 4: Simplify right side
    6,703.70x = 62,137,802.67
  5. Step 5: Solve for x
    x = 62,137,802.67/6,703.70
  6. Step 6: Final answer
    x = 9,269.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.