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Finding the Fourth Proportional to 7,756.75, 10,703.50 and 4,398.49

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Solution

The fourth proportional to 7,756.75, 10,703.50 and 4,398.49 is: 6,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.75 : 10,703.50 = 4,398.49 : x
  2. Step 2: Convert to fraction form
    7,756.75/10,703.50 = 4,398.49/x
  3. Step 3: Cross multiply
    7,756.75x = 10,703.50 × 4,398.49
  4. Step 4: Simplify right side
    7,756.75x = 47,079,237.72
  5. Step 5: Solve for x
    x = 47,079,237.72/7,756.75
  6. Step 6: Final answer
    x = 6,069.45

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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.