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Finding the Fourth Proportional to 6,036.64, 8,334 and 4,617.64

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Solution

The fourth proportional to 6,036.64, 8,334 and 4,617.64 is: 6,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.64 : 8,334 = 4,617.64 : x
  2. Step 2: Convert to fraction form
    6,036.64/8,334 = 4,617.64/x
  3. Step 3: Cross multiply
    6,036.64x = 8,334 × 4,617.64
  4. Step 4: Simplify right side
    6,036.64x = 38,483,411.76
  5. Step 5: Solve for x
    x = 38,483,411.76/6,036.64
  6. Step 6: Final answer
    x = 6,374.97

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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.