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Finding the Fourth Proportional to 11,807.51, 16,294.16 and 6,502.82

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Solution

The fourth proportional to 11,807.51, 16,294.16 and 6,502.82 is: 8,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.51 : 16,294.16 = 6,502.82 : x
  2. Step 2: Convert to fraction form
    11,807.51/16,294.16 = 6,502.82/x
  3. Step 3: Cross multiply
    11,807.51x = 16,294.16 × 6,502.82
  4. Step 4: Simplify right side
    11,807.51x = 105,957,924.32
  5. Step 5: Solve for x
    x = 105,957,924.32/11,807.51
  6. Step 6: Final answer
    x = 8,973.78

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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.