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Finding the Fourth Proportional to 12,798.28, 19,203.63 and 5,783.14

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Solution

The fourth proportional to 12,798.28, 19,203.63 and 5,783.14 is: 8,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.28 : 19,203.63 = 5,783.14 : x
  2. Step 2: Convert to fraction form
    12,798.28/19,203.63 = 5,783.14/x
  3. Step 3: Cross multiply
    12,798.28x = 19,203.63 × 5,783.14
  4. Step 4: Simplify right side
    12,798.28x = 111,057,280.80
  5. Step 5: Solve for x
    x = 111,057,280.80/12,798.28
  6. Step 6: Final answer
    x = 8,677.52

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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.