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Finding the Fourth Proportional to 35,782.97, 53,674.45 and 9,489.76

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Solution

The fourth proportional to 35,782.97, 53,674.45 and 9,489.76 is: 14,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.97 : 53,674.45 = 9,489.76 : x
  2. Step 2: Convert to fraction form
    35,782.97/53,674.45 = 9,489.76/x
  3. Step 3: Cross multiply
    35,782.97x = 53,674.45 × 9,489.76
  4. Step 4: Simplify right side
    35,782.97x = 509,357,490.72
  5. Step 5: Solve for x
    x = 509,357,490.72/35,782.97
  6. Step 6: Final answer
    x = 14,234.64

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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.