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Finding the Fourth Proportional to 25,509.76, 38,266.84 and 7,041.76

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Solution

The fourth proportional to 25,509.76, 38,266.84 and 7,041.76 is: 10,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.76 : 38,266.84 = 7,041.76 : x
  2. Step 2: Convert to fraction form
    25,509.76/38,266.84 = 7,041.76/x
  3. Step 3: Cross multiply
    25,509.76x = 38,266.84 × 7,041.76
  4. Step 4: Simplify right side
    25,509.76x = 269,465,903.24
  5. Step 5: Solve for x
    x = 269,465,903.24/25,509.76
  6. Step 6: Final answer
    x = 10,563.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.