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Finding the Fourth Proportional to 10,334.16, 14,261 and 5,618.32

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Solution

The fourth proportional to 10,334.16, 14,261 and 5,618.32 is: 7,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.16 : 14,261 = 5,618.32 : x
  2. Step 2: Convert to fraction form
    10,334.16/14,261 = 5,618.32/x
  3. Step 3: Cross multiply
    10,334.16x = 14,261 × 5,618.32
  4. Step 4: Simplify right side
    10,334.16x = 80,122,861.52
  5. Step 5: Solve for x
    x = 80,122,861.52/10,334.16
  6. Step 6: Final answer
    x = 7,753.21

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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.