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Finding the Fourth Proportional to 10,809.26, 14,919.58 and 7,041.82

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Solution

The fourth proportional to 10,809.26, 14,919.58 and 7,041.82 is: 9,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.26 : 14,919.58 = 7,041.82 : x
  2. Step 2: Convert to fraction form
    10,809.26/14,919.58 = 7,041.82/x
  3. Step 3: Cross multiply
    10,809.26x = 14,919.58 × 7,041.82
  4. Step 4: Simplify right side
    10,809.26x = 105,060,996.84
  5. Step 5: Solve for x
    x = 105,060,996.84/10,809.26
  6. Step 6: Final answer
    x = 9,719.54

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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.