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Finding the Fourth Proportional to 10,341, 14,270.58 and 6,148.44

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Solution

The fourth proportional to 10,341, 14,270.58 and 6,148.44 is: 8,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 14,270.58 = 6,148.44 : x
  2. Step 2: Convert to fraction form
    10,341/14,270.58 = 6,148.44/x
  3. Step 3: Cross multiply
    10,341x = 14,270.58 × 6,148.44
  4. Step 4: Simplify right side
    10,341x = 87,741,804.90
  5. Step 5: Solve for x
    x = 87,741,804.90/10,341
  6. Step 6: Final answer
    x = 8,484.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.