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Finding the Fourth Proportional to 7,118.37, 10,670.13 and 2,437

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Solution

The fourth proportional to 7,118.37, 10,670.13 and 2,437 is: 3,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.37 : 10,670.13 = 2,437 : x
  2. Step 2: Convert to fraction form
    7,118.37/10,670.13 = 2,437/x
  3. Step 3: Cross multiply
    7,118.37x = 10,670.13 × 2,437
  4. Step 4: Simplify right side
    7,118.37x = 26,003,094.63
  5. Step 5: Solve for x
    x = 26,003,094.63/7,118.37
  6. Step 6: Final answer
    x = 3,652.96

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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.