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Finding the Fourth Proportional to 14,348.96, 19,828.96 and 10,806

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Solution

The fourth proportional to 14,348.96, 19,828.96 and 10,806 is: 14,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.96 : 19,828.96 = 10,806 : x
  2. Step 2: Convert to fraction form
    14,348.96/19,828.96 = 10,806/x
  3. Step 3: Cross multiply
    14,348.96x = 19,828.96 × 10,806
  4. Step 4: Simplify right side
    14,348.96x = 214,271,741.76
  5. Step 5: Solve for x
    x = 214,271,741.76/14,348.96
  6. Step 6: Final answer
    x = 14,932.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.