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Finding the Fourth Proportional to 14,384.92, 19,848.54 and 8,095.96

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Solution

The fourth proportional to 14,384.92, 19,848.54 and 8,095.96 is: 11,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.92 : 19,848.54 = 8,095.96 : x
  2. Step 2: Convert to fraction form
    14,384.92/19,848.54 = 8,095.96/x
  3. Step 3: Cross multiply
    14,384.92x = 19,848.54 × 8,095.96
  4. Step 4: Simplify right side
    14,384.92x = 160,692,985.90
  5. Step 5: Solve for x
    x = 160,692,985.90/14,384.92
  6. Step 6: Final answer
    x = 11,170.93

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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.