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Finding the Fourth Proportional to 6,309.92, 9,461.60 and 2,357.93

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Solution

The fourth proportional to 6,309.92, 9,461.60 and 2,357.93 is: 3,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.92 : 9,461.60 = 2,357.93 : x
  2. Step 2: Convert to fraction form
    6,309.92/9,461.60 = 2,357.93/x
  3. Step 3: Cross multiply
    6,309.92x = 9,461.60 × 2,357.93
  4. Step 4: Simplify right side
    6,309.92x = 22,309,802.35
  5. Step 5: Solve for x
    x = 22,309,802.35/6,309.92
  6. Step 6: Final answer
    x = 3,535.67

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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.