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Finding the Fourth Proportional to 6,783.68, 10,184.16 and 5,764.16

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Solution

The fourth proportional to 6,783.68, 10,184.16 and 5,764.16 is: 8,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.68 : 10,184.16 = 5,764.16 : x
  2. Step 2: Convert to fraction form
    6,783.68/10,184.16 = 5,764.16/x
  3. Step 3: Cross multiply
    6,783.68x = 10,184.16 × 5,764.16
  4. Step 4: Simplify right side
    6,783.68x = 58,703,127.71
  5. Step 5: Solve for x
    x = 58,703,127.71/6,783.68
  6. Step 6: Final answer
    x = 8,653.58

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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.