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Finding the Fourth Proportional to 28,234.10, 42,340.38 and 9,509.12

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Solution

The fourth proportional to 28,234.10, 42,340.38 and 9,509.12 is: 14,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.10 : 42,340.38 = 9,509.12 : x
  2. Step 2: Convert to fraction form
    28,234.10/42,340.38 = 9,509.12/x
  3. Step 3: Cross multiply
    28,234.10x = 42,340.38 × 9,509.12
  4. Step 4: Simplify right side
    28,234.10x = 402,619,754.27
  5. Step 5: Solve for x
    x = 402,619,754.27/28,234.10
  6. Step 6: Final answer
    x = 14,260.05

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Half scale
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Double scale
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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.