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Finding the Fourth Proportional to 10,288, 14,197.98 and 6,756.40

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Solution

The fourth proportional to 10,288, 14,197.98 and 6,756.40 is: 9,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 14,197.98 = 6,756.40 : x
  2. Step 2: Convert to fraction form
    10,288/14,197.98 = 6,756.40/x
  3. Step 3: Cross multiply
    10,288x = 14,197.98 × 6,756.40
  4. Step 4: Simplify right side
    10,288x = 95,927,232.07
  5. Step 5: Solve for x
    x = 95,927,232.07/10,288
  6. Step 6: Final answer
    x = 9,324.19

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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.