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Finding the Fourth Proportional to 10,627.70, 14,665.10 and 6,152.85

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Solution

The fourth proportional to 10,627.70, 14,665.10 and 6,152.85 is: 8,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.70 : 14,665.10 = 6,152.85 : x
  2. Step 2: Convert to fraction form
    10,627.70/14,665.10 = 6,152.85/x
  3. Step 3: Cross multiply
    10,627.70x = 14,665.10 × 6,152.85
  4. Step 4: Simplify right side
    10,627.70x = 90,232,129.77
  5. Step 5: Solve for x
    x = 90,232,129.77/10,627.70
  6. Step 6: Final answer
    x = 8,490.28

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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.