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Finding the Fourth Proportional to 6,827.40, 10,219.22 and 4,602.16

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Solution

The fourth proportional to 6,827.40, 10,219.22 and 4,602.16 is: 6,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.40 : 10,219.22 = 4,602.16 : x
  2. Step 2: Convert to fraction form
    6,827.40/10,219.22 = 4,602.16/x
  3. Step 3: Cross multiply
    6,827.40x = 10,219.22 × 4,602.16
  4. Step 4: Simplify right side
    6,827.40x = 47,030,485.52
  5. Step 5: Solve for x
    x = 47,030,485.52/6,827.40
  6. Step 6: Final answer
    x = 6,888.49

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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.