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Finding the Fourth Proportional to 35,797.83, 53,698.17 and 9,502.80

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Solution

The fourth proportional to 35,797.83, 53,698.17 and 9,502.80 is: 14,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.83 : 53,698.17 = 9,502.80 : x
  2. Step 2: Convert to fraction form
    35,797.83/53,698.17 = 9,502.80/x
  3. Step 3: Cross multiply
    35,797.83x = 53,698.17 × 9,502.80
  4. Step 4: Simplify right side
    35,797.83x = 510,282,969.88
  5. Step 5: Solve for x
    x = 510,282,969.88/35,797.83
  6. Step 6: Final answer
    x = 14,254.58

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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.