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Finding the Fourth Proportional to 35,730.66, 53,578.68 and 10,766.06

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Solution

The fourth proportional to 35,730.66, 53,578.68 and 10,766.06 is: 16,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.66 : 53,578.68 = 10,766.06 : x
  2. Step 2: Convert to fraction form
    35,730.66/53,578.68 = 10,766.06/x
  3. Step 3: Cross multiply
    35,730.66x = 53,578.68 × 10,766.06
  4. Step 4: Simplify right side
    35,730.66x = 576,831,190.03
  5. Step 5: Solve for x
    x = 576,831,190.03/35,730.66
  6. Step 6: Final answer
    x = 16,143.87

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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.