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Finding the Fourth Proportional to 14,483.76, 19,956.72 and 9,759.84

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Solution

The fourth proportional to 14,483.76, 19,956.72 and 9,759.84 is: 13,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.76 : 19,956.72 = 9,759.84 : x
  2. Step 2: Convert to fraction form
    14,483.76/19,956.72 = 9,759.84/x
  3. Step 3: Cross multiply
    14,483.76x = 19,956.72 × 9,759.84
  4. Step 4: Simplify right side
    14,483.76x = 194,774,394.12
  5. Step 5: Solve for x
    x = 194,774,394.12/14,483.76
  6. Step 6: Final answer
    x = 13,447.78

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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.