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Finding the Fourth Proportional to 10,508.94, 14,508.27 and 6,976.98

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Solution

The fourth proportional to 10,508.94, 14,508.27 and 6,976.98 is: 9,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.94 : 14,508.27 = 6,976.98 : x
  2. Step 2: Convert to fraction form
    10,508.94/14,508.27 = 6,976.98/x
  3. Step 3: Cross multiply
    10,508.94x = 14,508.27 × 6,976.98
  4. Step 4: Simplify right side
    10,508.94x = 101,223,909.62
  5. Step 5: Solve for x
    x = 101,223,909.62/10,508.94
  6. Step 6: Final answer
    x = 9,632.17

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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.