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Finding the Fourth Proportional to 14,546.48, 21,823 and 5,312.48

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Solution

The fourth proportional to 14,546.48, 21,823 and 5,312.48 is: 7,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.48 : 21,823 = 5,312.48 : x
  2. Step 2: Convert to fraction form
    14,546.48/21,823 = 5,312.48/x
  3. Step 3: Cross multiply
    14,546.48x = 21,823 × 5,312.48
  4. Step 4: Simplify right side
    14,546.48x = 115,934,251.04
  5. Step 5: Solve for x
    x = 115,934,251.04/14,546.48
  6. Step 6: Final answer
    x = 7,969.92

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1.5x scale

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.