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Finding the Fourth Proportional to 10,570.60, 15,856.36 and 6,824.45

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Solution

The fourth proportional to 10,570.60, 15,856.36 and 6,824.45 is: 10,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.60 : 15,856.36 = 6,824.45 : x
  2. Step 2: Convert to fraction form
    10,570.60/15,856.36 = 6,824.45/x
  3. Step 3: Cross multiply
    10,570.60x = 15,856.36 × 6,824.45
  4. Step 4: Simplify right side
    10,570.60x = 108,210,958.58
  5. Step 5: Solve for x
    x = 108,210,958.58/10,570.60
  6. Step 6: Final answer
    x = 10,236.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.