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Finding the Fourth Proportional to 19,768.96, 29,652.16 and 7,456.64

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Solution

The fourth proportional to 19,768.96, 29,652.16 and 7,456.64 is: 11,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.96 : 29,652.16 = 7,456.64 : x
  2. Step 2: Convert to fraction form
    19,768.96/29,652.16 = 7,456.64/x
  3. Step 3: Cross multiply
    19,768.96x = 29,652.16 × 7,456.64
  4. Step 4: Simplify right side
    19,768.96x = 221,105,482.34
  5. Step 5: Solve for x
    x = 221,105,482.34/19,768.96
  6. Step 6: Final answer
    x = 11,184.48

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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.