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Finding the Fourth Proportional to 10,509.77, 14,504.49 and 7,852.56

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Solution

The fourth proportional to 10,509.77, 14,504.49 and 7,852.56 is: 10,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.77 : 14,504.49 = 7,852.56 : x
  2. Step 2: Convert to fraction form
    10,509.77/14,504.49 = 7,852.56/x
  3. Step 3: Cross multiply
    10,509.77x = 14,504.49 × 7,852.56
  4. Step 4: Simplify right side
    10,509.77x = 113,897,377.99
  5. Step 5: Solve for x
    x = 113,897,377.99/10,509.77
  6. Step 6: Final answer
    x = 10,837.29

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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.