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Finding the Fourth Proportional to 11,604.99, 16,014.87 and 6,569.12

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Solution

The fourth proportional to 11,604.99, 16,014.87 and 6,569.12 is: 9,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.99 : 16,014.87 = 6,569.12 : x
  2. Step 2: Convert to fraction form
    11,604.99/16,014.87 = 6,569.12/x
  3. Step 3: Cross multiply
    11,604.99x = 16,014.87 × 6,569.12
  4. Step 4: Simplify right side
    11,604.99x = 105,203,602.81
  5. Step 5: Solve for x
    x = 105,203,602.81/11,604.99
  6. Step 6: Final answer
    x = 9,065.38

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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.