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Finding the Fourth Proportional to 9,384.76, 12,950.98 and 5,193

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Solution

The fourth proportional to 9,384.76, 12,950.98 and 5,193 is: 7,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.76 : 12,950.98 = 5,193 : x
  2. Step 2: Convert to fraction form
    9,384.76/12,950.98 = 5,193/x
  3. Step 3: Cross multiply
    9,384.76x = 12,950.98 × 5,193
  4. Step 4: Simplify right side
    9,384.76x = 67,254,439.14
  5. Step 5: Solve for x
    x = 67,254,439.14/9,384.76
  6. Step 6: Final answer
    x = 7,166.35

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.