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Finding the Fourth Proportional to 38,842, 58,263.04 and 9,658

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Solution

The fourth proportional to 38,842, 58,263.04 and 9,658 is: 14,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842 : 58,263.04 = 9,658 : x
  2. Step 2: Convert to fraction form
    38,842/58,263.04 = 9,658/x
  3. Step 3: Cross multiply
    38,842x = 58,263.04 × 9,658
  4. Step 4: Simplify right side
    38,842x = 562,704,440.32
  5. Step 5: Solve for x
    x = 562,704,440.32/38,842
  6. Step 6: Final answer
    x = 14,487.01

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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.