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Finding the Fourth Proportional to 12,041.48, 18,063.03 and 4,646

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Solution

The fourth proportional to 12,041.48, 18,063.03 and 4,646 is: 6,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.48 : 18,063.03 = 4,646 : x
  2. Step 2: Convert to fraction form
    12,041.48/18,063.03 = 4,646/x
  3. Step 3: Cross multiply
    12,041.48x = 18,063.03 × 4,646
  4. Step 4: Simplify right side
    12,041.48x = 83,920,837.38
  5. Step 5: Solve for x
    x = 83,920,837.38/12,041.48
  6. Step 6: Final answer
    x = 6,969.31

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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.