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Finding the Fourth Proportional to 10,366.16, 14,307 and 6,176.88

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Solution

The fourth proportional to 10,366.16, 14,307 and 6,176.88 is: 8,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.16 : 14,307 = 6,176.88 : x
  2. Step 2: Convert to fraction form
    10,366.16/14,307 = 6,176.88/x
  3. Step 3: Cross multiply
    10,366.16x = 14,307 × 6,176.88
  4. Step 4: Simplify right side
    10,366.16x = 88,372,622.16
  5. Step 5: Solve for x
    x = 88,372,622.16/10,366.16
  6. Step 6: Final answer
    x = 8,525.11

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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.