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Finding the Fourth Proportional to 10,041, 13,856.58 and 5,851.80

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Solution

The fourth proportional to 10,041, 13,856.58 and 5,851.80 is: 8,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041 : 13,856.58 = 5,851.80 : x
  2. Step 2: Convert to fraction form
    10,041/13,856.58 = 5,851.80/x
  3. Step 3: Cross multiply
    10,041x = 13,856.58 × 5,851.80
  4. Step 4: Simplify right side
    10,041x = 81,085,934.84
  5. Step 5: Solve for x
    x = 81,085,934.84/10,041
  6. Step 6: Final answer
    x = 8,075.48

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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.