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Finding the Fourth Proportional to 10,584.11, 14,605.31 and 5,803.29

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Solution

The fourth proportional to 10,584.11, 14,605.31 and 5,803.29 is: 8,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.11 : 14,605.31 = 5,803.29 : x
  2. Step 2: Convert to fraction form
    10,584.11/14,605.31 = 5,803.29/x
  3. Step 3: Cross multiply
    10,584.11x = 14,605.31 × 5,803.29
  4. Step 4: Simplify right side
    10,584.11x = 84,758,849.47
  5. Step 5: Solve for x
    x = 84,758,849.47/10,584.11
  6. Step 6: Final answer
    x = 8,008.12

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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.