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Finding the Fourth Proportional to 9,774.54, 14,661.80 and 2,379

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Solution

The fourth proportional to 9,774.54, 14,661.80 and 2,379 is: 3,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.54 : 14,661.80 = 2,379 : x
  2. Step 2: Convert to fraction form
    9,774.54/14,661.80 = 2,379/x
  3. Step 3: Cross multiply
    9,774.54x = 14,661.80 × 2,379
  4. Step 4: Simplify right side
    9,774.54x = 34,880,410.31
  5. Step 5: Solve for x
    x = 34,880,410.31/9,774.54
  6. Step 6: Final answer
    x = 3,568.50

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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.