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Finding the Fourth Proportional to 28,609.28, 42,907.36 and 7,834.40

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Solution

The fourth proportional to 28,609.28, 42,907.36 and 7,834.40 is: 11,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,609.28 : 42,907.36 = 7,834.40 : x
  2. Step 2: Convert to fraction form
    28,609.28/42,907.36 = 7,834.40/x
  3. Step 3: Cross multiply
    28,609.28x = 42,907.36 × 7,834.40
  4. Step 4: Simplify right side
    28,609.28x = 336,153,421.18
  5. Step 5: Solve for x
    x = 336,153,421.18/28,609.28
  6. Step 6: Final answer
    x = 11,749.80

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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.