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Finding the Fourth Proportional to 10,549.99, 14,559.38 and 5,834.17

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Solution

The fourth proportional to 10,549.99, 14,559.38 and 5,834.17 is: 8,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.99 : 14,559.38 = 5,834.17 : x
  2. Step 2: Convert to fraction form
    10,549.99/14,559.38 = 5,834.17/x
  3. Step 3: Cross multiply
    10,549.99x = 14,559.38 × 5,834.17
  4. Step 4: Simplify right side
    10,549.99x = 84,941,898.01
  5. Step 5: Solve for x
    x = 84,941,898.01/10,549.99
  6. Step 6: Final answer
    x = 8,051.37

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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.