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Finding the Fourth Proportional to 35,980.05, 53,965.22 and 9,686.37

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Solution

The fourth proportional to 35,980.05, 53,965.22 and 9,686.37 is: 14,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.05 : 53,965.22 = 9,686.37 : x
  2. Step 2: Convert to fraction form
    35,980.05/53,965.22 = 9,686.37/x
  3. Step 3: Cross multiply
    35,980.05x = 53,965.22 × 9,686.37
  4. Step 4: Simplify right side
    35,980.05x = 522,727,039.62
  5. Step 5: Solve for x
    x = 522,727,039.62/35,980.05
  6. Step 6: Final answer
    x = 14,528.25

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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.