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Finding the Fourth Proportional to 6,970.64, 10,459.52 and 4,632.24

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Solution

The fourth proportional to 6,970.64, 10,459.52 and 4,632.24 is: 6,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.64 : 10,459.52 = 4,632.24 : x
  2. Step 2: Convert to fraction form
    6,970.64/10,459.52 = 4,632.24/x
  3. Step 3: Cross multiply
    6,970.64x = 10,459.52 × 4,632.24
  4. Step 4: Simplify right side
    6,970.64x = 48,451,006.92
  5. Step 5: Solve for x
    x = 48,451,006.92/6,970.64
  6. Step 6: Final answer
    x = 6,950.73

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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.