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Finding the Fourth Proportional to 34,010, 51,017.94 and 9,386

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Solution

The fourth proportional to 34,010, 51,017.94 and 9,386 is: 14,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010 : 51,017.94 = 9,386 : x
  2. Step 2: Convert to fraction form
    34,010/51,017.94 = 9,386/x
  3. Step 3: Cross multiply
    34,010x = 51,017.94 × 9,386
  4. Step 4: Simplify right side
    34,010x = 478,854,384.84
  5. Step 5: Solve for x
    x = 478,854,384.84/34,010
  6. Step 6: Final answer
    x = 14,079.81

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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.