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Finding the Fourth Proportional to 6,460.95, 8,913.82 and 4,224.11

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Solution

The fourth proportional to 6,460.95, 8,913.82 and 4,224.11 is: 5,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.95 : 8,913.82 = 4,224.11 : x
  2. Step 2: Convert to fraction form
    6,460.95/8,913.82 = 4,224.11/x
  3. Step 3: Cross multiply
    6,460.95x = 8,913.82 × 4,224.11
  4. Step 4: Simplify right side
    6,460.95x = 37,652,956.20
  5. Step 5: Solve for x
    x = 37,652,956.20/6,460.95
  6. Step 6: Final answer
    x = 5,827.77

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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.