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Finding the Fourth Proportional to 9,970.64, 14,956.02 and 2,574.60

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Solution

The fourth proportional to 9,970.64, 14,956.02 and 2,574.60 is: 3,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.64 : 14,956.02 = 2,574.60 : x
  2. Step 2: Convert to fraction form
    9,970.64/14,956.02 = 2,574.60/x
  3. Step 3: Cross multiply
    9,970.64x = 14,956.02 × 2,574.60
  4. Step 4: Simplify right side
    9,970.64x = 38,505,769.09
  5. Step 5: Solve for x
    x = 38,505,769.09/9,970.64
  6. Step 6: Final answer
    x = 3,861.92

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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.