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Finding the Fourth Proportional to 6,953.58, 10,433.52 and 2,570.40

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Solution

The fourth proportional to 6,953.58, 10,433.52 and 2,570.40 is: 3,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.58 : 10,433.52 = 2,570.40 : x
  2. Step 2: Convert to fraction form
    6,953.58/10,433.52 = 2,570.40/x
  3. Step 3: Cross multiply
    6,953.58x = 10,433.52 × 2,570.40
  4. Step 4: Simplify right side
    6,953.58x = 26,818,319.81
  5. Step 5: Solve for x
    x = 26,818,319.81/6,953.58
  6. Step 6: Final answer
    x = 3,856.76

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