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Finding the Fourth Proportional to 6,347.10, 9,483.90 and 4,583.74

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Solution

The fourth proportional to 6,347.10, 9,483.90 and 4,583.74 is: 6,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.10 : 9,483.90 = 4,583.74 : x
  2. Step 2: Convert to fraction form
    6,347.10/9,483.90 = 4,583.74/x
  3. Step 3: Cross multiply
    6,347.10x = 9,483.90 × 4,583.74
  4. Step 4: Simplify right side
    6,347.10x = 43,471,731.79
  5. Step 5: Solve for x
    x = 43,471,731.79/6,347.10
  6. Step 6: Final answer
    x = 6,849.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.