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Finding the Fourth Proportional to 9,596.98, 14,395.98 and 3,023.68

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Solution

The fourth proportional to 9,596.98, 14,395.98 and 3,023.68 is: 4,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.98 : 14,395.98 = 3,023.68 : x
  2. Step 2: Convert to fraction form
    9,596.98/14,395.98 = 3,023.68/x
  3. Step 3: Cross multiply
    9,596.98x = 14,395.98 × 3,023.68
  4. Step 4: Simplify right side
    9,596.98x = 43,528,749.71
  5. Step 5: Solve for x
    x = 43,528,749.71/9,596.98
  6. Step 6: Final answer
    x = 4,535.67

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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.