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Finding the Fourth Proportional to 35,980.26, 53,966.17 and 9,682.93

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Solution

The fourth proportional to 35,980.26, 53,966.17 and 9,682.93 is: 14,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.26 : 53,966.17 = 9,682.93 : x
  2. Step 2: Convert to fraction form
    35,980.26/53,966.17 = 9,682.93/x
  3. Step 3: Cross multiply
    35,980.26x = 53,966.17 × 9,682.93
  4. Step 4: Simplify right side
    35,980.26x = 522,550,646.48
  5. Step 5: Solve for x
    x = 522,550,646.48/35,980.26
  6. Step 6: Final answer
    x = 14,523.26

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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.