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Finding the Fourth Proportional to 10,492.44, 14,479.44 and 5,776.68

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Solution

The fourth proportional to 10,492.44, 14,479.44 and 5,776.68 is: 7,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.44 : 14,479.44 = 5,776.68 : x
  2. Step 2: Convert to fraction form
    10,492.44/14,479.44 = 5,776.68/x
  3. Step 3: Cross multiply
    10,492.44x = 14,479.44 × 5,776.68
  4. Step 4: Simplify right side
    10,492.44x = 83,643,091.46
  5. Step 5: Solve for x
    x = 83,643,091.46/10,492.44
  6. Step 6: Final answer
    x = 7,971.75

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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.