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Finding the Fourth Proportional to 11,807.54, 16,294.67 and 6,502.65

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Solution

The fourth proportional to 11,807.54, 16,294.67 and 6,502.65 is: 8,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.54 : 16,294.67 = 6,502.65 : x
  2. Step 2: Convert to fraction form
    11,807.54/16,294.67 = 6,502.65/x
  3. Step 3: Cross multiply
    11,807.54x = 16,294.67 × 6,502.65
  4. Step 4: Simplify right side
    11,807.54x = 105,958,503.36
  5. Step 5: Solve for x
    x = 105,958,503.36/11,807.54
  6. Step 6: Final answer
    x = 8,973.80

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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.