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Finding the Fourth Proportional to 6,815.64, 9,403.38 and 4,459.35

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Solution

The fourth proportional to 6,815.64, 9,403.38 and 4,459.35 is: 6,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.64 : 9,403.38 = 4,459.35 : x
  2. Step 2: Convert to fraction form
    6,815.64/9,403.38 = 4,459.35/x
  3. Step 3: Cross multiply
    6,815.64x = 9,403.38 × 4,459.35
  4. Step 4: Simplify right side
    6,815.64x = 41,932,962.60
  5. Step 5: Solve for x
    x = 41,932,962.60/6,815.64
  6. Step 6: Final answer
    x = 6,152.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.