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Finding the Fourth Proportional to 6,404.51, 8,832.47 and 5,463.70

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Solution

The fourth proportional to 6,404.51, 8,832.47 and 5,463.70 is: 7,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.51 : 8,832.47 = 5,463.70 : x
  2. Step 2: Convert to fraction form
    6,404.51/8,832.47 = 5,463.70/x
  3. Step 3: Cross multiply
    6,404.51x = 8,832.47 × 5,463.70
  4. Step 4: Simplify right side
    6,404.51x = 48,257,916.94
  5. Step 5: Solve for x
    x = 48,257,916.94/6,404.51
  6. Step 6: Final answer
    x = 7,534.99

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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.