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Finding the Fourth Proportional to 11,756.95, 16,224.81 and 6,451.95

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Solution

The fourth proportional to 11,756.95, 16,224.81 and 6,451.95 is: 8,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.95 : 16,224.81 = 6,451.95 : x
  2. Step 2: Convert to fraction form
    11,756.95/16,224.81 = 6,451.95/x
  3. Step 3: Cross multiply
    11,756.95x = 16,224.81 × 6,451.95
  4. Step 4: Simplify right side
    11,756.95x = 104,681,699.53
  5. Step 5: Solve for x
    x = 104,681,699.53/11,756.95
  6. Step 6: Final answer
    x = 8,903.82

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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.