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Finding the Fourth Proportional to 10,499.58, 15,749.37 and 9,858.06

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Solution

The fourth proportional to 10,499.58, 15,749.37 and 9,858.06 is: 14,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.58 : 15,749.37 = 9,858.06 : x
  2. Step 2: Convert to fraction form
    10,499.58/15,749.37 = 9,858.06/x
  3. Step 3: Cross multiply
    10,499.58x = 15,749.37 × 9,858.06
  4. Step 4: Simplify right side
    10,499.58x = 155,258,234.42
  5. Step 5: Solve for x
    x = 155,258,234.42/10,499.58
  6. Step 6: Final answer
    x = 14,787.09

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Similar ratio
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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.