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Finding the Fourth Proportional to 8,499.86, 11,726.04 and 5,664.47

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Solution

The fourth proportional to 8,499.86, 11,726.04 and 5,664.47 is: 7,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.86 : 11,726.04 = 5,664.47 : x
  2. Step 2: Convert to fraction form
    8,499.86/11,726.04 = 5,664.47/x
  3. Step 3: Cross multiply
    8,499.86x = 11,726.04 × 5,664.47
  4. Step 4: Simplify right side
    8,499.86x = 66,421,773.48
  5. Step 5: Solve for x
    x = 66,421,773.48/8,499.86
  6. Step 6: Final answer
    x = 7,814.46

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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.