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Finding the Fourth Proportional to 14,546.76, 21,820.12 and 5,312.76

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Solution

The fourth proportional to 14,546.76, 21,820.12 and 5,312.76 is: 7,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.76 : 21,820.12 = 5,312.76 : x
  2. Step 2: Convert to fraction form
    14,546.76/21,820.12 = 5,312.76/x
  3. Step 3: Cross multiply
    14,546.76x = 21,820.12 × 5,312.76
  4. Step 4: Simplify right side
    14,546.76x = 115,925,060.73
  5. Step 5: Solve for x
    x = 115,925,060.73/14,546.76
  6. Step 6: Final answer
    x = 7,969.13

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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.