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Finding the Fourth Proportional to 6,464.95, 8,921.10 and 3,632.17

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Solution

The fourth proportional to 6,464.95, 8,921.10 and 3,632.17 is: 5,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.95 : 8,921.10 = 3,632.17 : x
  2. Step 2: Convert to fraction form
    6,464.95/8,921.10 = 3,632.17/x
  3. Step 3: Cross multiply
    6,464.95x = 8,921.10 × 3,632.17
  4. Step 4: Simplify right side
    6,464.95x = 32,402,889.02
  5. Step 5: Solve for x
    x = 32,402,889.02/6,464.95
  6. Step 6: Final answer
    x = 5,012.09

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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.