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Finding the Fourth Proportional to 19,706.52, 27,193.91 and 11,207.46

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Solution

The fourth proportional to 19,706.52, 27,193.91 and 11,207.46 is: 15,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.52 : 27,193.91 = 11,207.46 : x
  2. Step 2: Convert to fraction form
    19,706.52/27,193.91 = 11,207.46/x
  3. Step 3: Cross multiply
    19,706.52x = 27,193.91 × 11,207.46
  4. Step 4: Simplify right side
    19,706.52x = 304,774,602.53
  5. Step 5: Solve for x
    x = 304,774,602.53/19,706.52
  6. Step 6: Final answer
    x = 15,465.67

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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.