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Finding the Fourth Proportional to 4,647.95, 6,971.84 and 1,527.98

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Solution

The fourth proportional to 4,647.95, 6,971.84 and 1,527.98 is: 2,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.95 : 6,971.84 = 1,527.98 : x
  2. Step 2: Convert to fraction form
    4,647.95/6,971.84 = 1,527.98/x
  3. Step 3: Cross multiply
    4,647.95x = 6,971.84 × 1,527.98
  4. Step 4: Simplify right side
    4,647.95x = 10,652,789.58
  5. Step 5: Solve for x
    x = 10,652,789.58/4,647.95
  6. Step 6: Final answer
    x = 2,291.94

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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.