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Finding the Fourth Proportional to 12,095.93, 16,695.86 and 7,315.88

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Solution

The fourth proportional to 12,095.93, 16,695.86 and 7,315.88 is: 10,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.93 : 16,695.86 = 7,315.88 : x
  2. Step 2: Convert to fraction form
    12,095.93/16,695.86 = 7,315.88/x
  3. Step 3: Cross multiply
    12,095.93x = 16,695.86 × 7,315.88
  4. Step 4: Simplify right side
    12,095.93x = 122,144,908.26
  5. Step 5: Solve for x
    x = 122,144,908.26/12,095.93
  6. Step 6: Final answer
    x = 10,098.02

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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.