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Finding the Fourth Proportional to 10,051.84, 15,054.72 and 9,882.88

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Solution

The fourth proportional to 10,051.84, 15,054.72 and 9,882.88 is: 14,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.84 : 15,054.72 = 9,882.88 : x
  2. Step 2: Convert to fraction form
    10,051.84/15,054.72 = 9,882.88/x
  3. Step 3: Cross multiply
    10,051.84x = 15,054.72 × 9,882.88
  4. Step 4: Simplify right side
    10,051.84x = 148,783,991.19
  5. Step 5: Solve for x
    x = 148,783,991.19/10,051.84
  6. Step 6: Final answer
    x = 14,801.67

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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.