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Finding the Fourth Proportional to 9,904.68, 14,857.57 and 2,509.21

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Solution

The fourth proportional to 9,904.68, 14,857.57 and 2,509.21 is: 3,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.68 : 14,857.57 = 2,509.21 : x
  2. Step 2: Convert to fraction form
    9,904.68/14,857.57 = 2,509.21/x
  3. Step 3: Cross multiply
    9,904.68x = 14,857.57 × 2,509.21
  4. Step 4: Simplify right side
    9,904.68x = 37,280,715.19
  5. Step 5: Solve for x
    x = 37,280,715.19/9,904.68
  6. Step 6: Final answer
    x = 3,763.95

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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.