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Finding the Fourth Proportional to 12,858.64, 19,283.96 and 5,834.32

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Solution

The fourth proportional to 12,858.64, 19,283.96 and 5,834.32 is: 8,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.64 : 19,283.96 = 5,834.32 : x
  2. Step 2: Convert to fraction form
    12,858.64/19,283.96 = 5,834.32/x
  3. Step 3: Cross multiply
    12,858.64x = 19,283.96 × 5,834.32
  4. Step 4: Simplify right side
    12,858.64x = 112,508,793.51
  5. Step 5: Solve for x
    x = 112,508,793.51/12,858.64
  6. Step 6: Final answer
    x = 8,749.67

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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.