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Finding the Fourth Proportional to 15,838.96, 21,856.84 and 8,764.96

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Solution

The fourth proportional to 15,838.96, 21,856.84 and 8,764.96 is: 12,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.96 : 21,856.84 = 8,764.96 : x
  2. Step 2: Convert to fraction form
    15,838.96/21,856.84 = 8,764.96/x
  3. Step 3: Cross multiply
    15,838.96x = 21,856.84 × 8,764.96
  4. Step 4: Simplify right side
    15,838.96x = 191,574,328.33
  5. Step 5: Solve for x
    x = 191,574,328.33/15,838.96
  6. Step 6: Final answer
    x = 12,095.13

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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.