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Finding the Fourth Proportional to 35,980.74, 53,966.23 and 9,687.06

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Solution

The fourth proportional to 35,980.74, 53,966.23 and 9,687.06 is: 14,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.74 : 53,966.23 = 9,687.06 : x
  2. Step 2: Convert to fraction form
    35,980.74/53,966.23 = 9,687.06/x
  3. Step 3: Cross multiply
    35,980.74x = 53,966.23 × 9,687.06
  4. Step 4: Simplify right side
    35,980.74x = 522,774,107.98
  5. Step 5: Solve for x
    x = 522,774,107.98/35,980.74
  6. Step 6: Final answer
    x = 14,529.28

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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.