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Finding the Fourth Proportional to 31,164, 46,746 and 9,276

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Solution

The fourth proportional to 31,164, 46,746 and 9,276 is: 13,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164 : 46,746 = 9,276 : x
  2. Step 2: Convert to fraction form
    31,164/46,746 = 9,276/x
  3. Step 3: Cross multiply
    31,164x = 46,746 × 9,276
  4. Step 4: Simplify right side
    31,164x = 433,615,896
  5. Step 5: Solve for x
    x = 433,615,896/31,164
  6. Step 6: Final answer
    x = 13,914

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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.