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Finding the Fourth Proportional to 14,263.65, 19,683.90 and 7,976.01

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Solution

The fourth proportional to 14,263.65, 19,683.90 and 7,976.01 is: 11,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.65 : 19,683.90 = 7,976.01 : x
  2. Step 2: Convert to fraction form
    14,263.65/19,683.90 = 7,976.01/x
  3. Step 3: Cross multiply
    14,263.65x = 19,683.90 × 7,976.01
  4. Step 4: Simplify right side
    14,263.65x = 156,998,983.24
  5. Step 5: Solve for x
    x = 156,998,983.24/14,263.65
  6. Step 6: Final answer
    x = 11,006.93

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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.