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Finding the Fourth Proportional to 6,803.68, 10,214.16 and 5,784.16

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Solution

The fourth proportional to 6,803.68, 10,214.16 and 5,784.16 is: 8,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.68 : 10,214.16 = 5,784.16 : x
  2. Step 2: Convert to fraction form
    6,803.68/10,214.16 = 5,784.16/x
  3. Step 3: Cross multiply
    6,803.68x = 10,214.16 × 5,784.16
  4. Step 4: Simplify right side
    6,803.68x = 59,080,335.71
  5. Step 5: Solve for x
    x = 59,080,335.71/6,803.68
  6. Step 6: Final answer
    x = 8,683.59

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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.