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Finding the Fourth Proportional to 19,570.16, 29,354.90 and 7,883.08

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Solution

The fourth proportional to 19,570.16, 29,354.90 and 7,883.08 is: 11,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.16 : 29,354.90 = 7,883.08 : x
  2. Step 2: Convert to fraction form
    19,570.16/29,354.90 = 7,883.08/x
  3. Step 3: Cross multiply
    19,570.16x = 29,354.90 × 7,883.08
  4. Step 4: Simplify right side
    19,570.16x = 231,407,025.09
  5. Step 5: Solve for x
    x = 231,407,025.09/19,570.16
  6. Step 6: Final answer
    x = 11,824.48

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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.