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Finding the Fourth Proportional to 9,573.56, 14,358.70 and 2,648.08

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Solution

The fourth proportional to 9,573.56, 14,358.70 and 2,648.08 is: 3,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.56 : 14,358.70 = 2,648.08 : x
  2. Step 2: Convert to fraction form
    9,573.56/14,358.70 = 2,648.08/x
  3. Step 3: Cross multiply
    9,573.56x = 14,358.70 × 2,648.08
  4. Step 4: Simplify right side
    9,573.56x = 38,022,986.30
  5. Step 5: Solve for x
    x = 38,022,986.30/9,573.56
  6. Step 6: Final answer
    x = 3,971.67

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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.