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Finding the Fourth Proportional to 35,406.56, 53,109.84 and 10,782.56

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Solution

The fourth proportional to 35,406.56, 53,109.84 and 10,782.56 is: 16,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.56 : 53,109.84 = 10,782.56 : x
  2. Step 2: Convert to fraction form
    35,406.56/53,109.84 = 10,782.56/x
  3. Step 3: Cross multiply
    35,406.56x = 53,109.84 × 10,782.56
  4. Step 4: Simplify right side
    35,406.56x = 572,660,209.60
  5. Step 5: Solve for x
    x = 572,660,209.60/35,406.56
  6. Step 6: Final answer
    x = 16,173.84

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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.