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Finding the Fourth Proportional to 7,783.16, 10,795.79 and 7,502.96

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Solution

The fourth proportional to 7,783.16, 10,795.79 and 7,502.96 is: 10,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.16 : 10,795.79 = 7,502.96 : x
  2. Step 2: Convert to fraction form
    7,783.16/10,795.79 = 7,502.96/x
  3. Step 3: Cross multiply
    7,783.16x = 10,795.79 × 7,502.96
  4. Step 4: Simplify right side
    7,783.16x = 81,000,380.54
  5. Step 5: Solve for x
    x = 81,000,380.54/7,783.16
  6. Step 6: Final answer
    x = 10,407.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.