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Finding the Fourth Proportional to 9,480, 14,220 and 3,324

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Solution

The fourth proportional to 9,480, 14,220 and 3,324 is: 4,986

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480 : 14,220 = 3,324 : x
  2. Step 2: Convert to fraction form
    9,480/14,220 = 3,324/x
  3. Step 3: Cross multiply
    9,480x = 14,220 × 3,324
  4. Step 4: Simplify right side
    9,480x = 47,267,280
  5. Step 5: Solve for x
    x = 47,267,280/9,480
  6. Step 6: Final answer
    x = 4,986

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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.