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Finding the Fourth Proportional to 19,776.80, 29,660.52 and 5,733.12

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Solution

The fourth proportional to 19,776.80, 29,660.52 and 5,733.12 is: 8,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.80 : 29,660.52 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    19,776.80/29,660.52 = 5,733.12/x
  3. Step 3: Cross multiply
    19,776.80x = 29,660.52 × 5,733.12
  4. Step 4: Simplify right side
    19,776.80x = 170,047,320.42
  5. Step 5: Solve for x
    x = 170,047,320.42/19,776.80
  6. Step 6: Final answer
    x = 8,598.32

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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.