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Finding the Fourth Proportional to 15,887.71, 23,827 and 6,400

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Solution

The fourth proportional to 15,887.71, 23,827 and 6,400 is: 9,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.71 : 23,827 = 6,400 : x
  2. Step 2: Convert to fraction form
    15,887.71/23,827 = 6,400/x
  3. Step 3: Cross multiply
    15,887.71x = 23,827 × 6,400
  4. Step 4: Simplify right side
    15,887.71x = 152,492,800
  5. Step 5: Solve for x
    x = 152,492,800/15,887.71
  6. Step 6: Final answer
    x = 9,598.16

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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.