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Finding the Fourth Proportional to 10,367.84, 14,368.12 and 10,170.92

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Solution

The fourth proportional to 10,367.84, 14,368.12 and 10,170.92 is: 14,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.84 : 14,368.12 = 10,170.92 : x
  2. Step 2: Convert to fraction form
    10,367.84/14,368.12 = 10,170.92/x
  3. Step 3: Cross multiply
    10,367.84x = 14,368.12 × 10,170.92
  4. Step 4: Simplify right side
    10,367.84x = 146,136,999.07
  5. Step 5: Solve for x
    x = 146,136,999.07/10,367.84
  6. Step 6: Final answer
    x = 14,095.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.