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Finding the Fourth Proportional to 9,242.90, 13,871.64 and 4,310

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Solution

The fourth proportional to 9,242.90, 13,871.64 and 4,310 is: 6,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.90 : 13,871.64 = 4,310 : x
  2. Step 2: Convert to fraction form
    9,242.90/13,871.64 = 4,310/x
  3. Step 3: Cross multiply
    9,242.90x = 13,871.64 × 4,310
  4. Step 4: Simplify right side
    9,242.90x = 59,786,768.40
  5. Step 5: Solve for x
    x = 59,786,768.40/9,242.90
  6. Step 6: Final answer
    x = 6,468.40

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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.