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Finding the Fourth Proportional to 6,535.47, 9,803.22 and 1,605.06

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Solution

The fourth proportional to 6,535.47, 9,803.22 and 1,605.06 is: 2,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.47 : 9,803.22 = 1,605.06 : x
  2. Step 2: Convert to fraction form
    6,535.47/9,803.22 = 1,605.06/x
  3. Step 3: Cross multiply
    6,535.47x = 9,803.22 × 1,605.06
  4. Step 4: Simplify right side
    6,535.47x = 15,734,756.29
  5. Step 5: Solve for x
    x = 15,734,756.29/6,535.47
  6. Step 6: Final answer
    x = 2,407.59

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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.