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Finding the Fourth Proportional to 9,948, 14,922 and 3,792

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Solution

The fourth proportional to 9,948, 14,922 and 3,792 is: 5,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 14,922 = 3,792 : x
  2. Step 2: Convert to fraction form
    9,948/14,922 = 3,792/x
  3. Step 3: Cross multiply
    9,948x = 14,922 × 3,792
  4. Step 4: Simplify right side
    9,948x = 56,584,224
  5. Step 5: Solve for x
    x = 56,584,224/9,948
  6. Step 6: Final answer
    x = 5,688

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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.