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Finding the Fourth Proportional to 14,125.92, 19,494.36 and 7,838.34

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Solution

The fourth proportional to 14,125.92, 19,494.36 and 7,838.34 is: 10,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.92 : 19,494.36 = 7,838.34 : x
  2. Step 2: Convert to fraction form
    14,125.92/19,494.36 = 7,838.34/x
  3. Step 3: Cross multiply
    14,125.92x = 19,494.36 × 7,838.34
  4. Step 4: Simplify right side
    14,125.92x = 152,803,421.76
  5. Step 5: Solve for x
    x = 152,803,421.76/14,125.92
  6. Step 6: Final answer
    x = 10,817.24

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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.