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Finding the Fourth Proportional to 9,969.48, 14,954.40 and 2,574

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Solution

The fourth proportional to 9,969.48, 14,954.40 and 2,574 is: 3,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.48 : 14,954.40 = 2,574 : x
  2. Step 2: Convert to fraction form
    9,969.48/14,954.40 = 2,574/x
  3. Step 3: Cross multiply
    9,969.48x = 14,954.40 × 2,574
  4. Step 4: Simplify right side
    9,969.48x = 38,492,625.60
  5. Step 5: Solve for x
    x = 38,492,625.60/9,969.48
  6. Step 6: Final answer
    x = 3,861.05

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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.