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Finding the Fourth Proportional to 10,643.04, 14,684.76 and 5,926.14

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Solution

The fourth proportional to 10,643.04, 14,684.76 and 5,926.14 is: 8,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.04 : 14,684.76 = 5,926.14 : x
  2. Step 2: Convert to fraction form
    10,643.04/14,684.76 = 5,926.14/x
  3. Step 3: Cross multiply
    10,643.04x = 14,684.76 × 5,926.14
  4. Step 4: Simplify right side
    10,643.04x = 87,023,943.63
  5. Step 5: Solve for x
    x = 87,023,943.63/10,643.04
  6. Step 6: Final answer
    x = 8,176.61

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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.