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Finding the Fourth Proportional to 11,807.33, 16,294.22 and 6,502.16

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Solution

The fourth proportional to 11,807.33, 16,294.22 and 6,502.16 is: 8,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.33 : 16,294.22 = 6,502.16 : x
  2. Step 2: Convert to fraction form
    11,807.33/16,294.22 = 6,502.16/x
  3. Step 3: Cross multiply
    11,807.33x = 16,294.22 × 6,502.16
  4. Step 4: Simplify right side
    11,807.33x = 105,947,511.53
  5. Step 5: Solve for x
    x = 105,947,511.53/11,807.33
  6. Step 6: Final answer
    x = 8,973.03

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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.