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Finding the Fourth Proportional to 10,344.95, 14,274.13 and 6,758.95

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Solution

The fourth proportional to 10,344.95, 14,274.13 and 6,758.95 is: 9,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.95 : 14,274.13 = 6,758.95 : x
  2. Step 2: Convert to fraction form
    10,344.95/14,274.13 = 6,758.95/x
  3. Step 3: Cross multiply
    10,344.95x = 14,274.13 × 6,758.95
  4. Step 4: Simplify right side
    10,344.95x = 96,478,130.96
  5. Step 5: Solve for x
    x = 96,478,130.96/10,344.95
  6. Step 6: Final answer
    x = 9,326.11

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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.