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Finding the Fourth Proportional to 4,710.80, 6,497 and 3,534.48

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Solution

The fourth proportional to 4,710.80, 6,497 and 3,534.48 is: 4,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.80 : 6,497 = 3,534.48 : x
  2. Step 2: Convert to fraction form
    4,710.80/6,497 = 3,534.48/x
  3. Step 3: Cross multiply
    4,710.80x = 6,497 × 3,534.48
  4. Step 4: Simplify right side
    4,710.80x = 22,963,516.56
  5. Step 5: Solve for x
    x = 22,963,516.56/4,710.80
  6. Step 6: Final answer
    x = 4,874.65

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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.