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Finding the Fourth Proportional to 10,292.94, 14,209.16 and 6,895.80

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Solution

The fourth proportional to 10,292.94, 14,209.16 and 6,895.80 is: 9,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.94 : 14,209.16 = 6,895.80 : x
  2. Step 2: Convert to fraction form
    10,292.94/14,209.16 = 6,895.80/x
  3. Step 3: Cross multiply
    10,292.94x = 14,209.16 × 6,895.80
  4. Step 4: Simplify right side
    10,292.94x = 97,983,525.53
  5. Step 5: Solve for x
    x = 97,983,525.53/10,292.94
  6. Step 6: Final answer
    x = 9,519.49

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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.