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Finding the Fourth Proportional to 10,613.76, 14,639.04 and 6,416.64

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Solution

The fourth proportional to 10,613.76, 14,639.04 and 6,416.64 is: 8,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.76 : 14,639.04 = 6,416.64 : x
  2. Step 2: Convert to fraction form
    10,613.76/14,639.04 = 6,416.64/x
  3. Step 3: Cross multiply
    10,613.76x = 14,639.04 × 6,416.64
  4. Step 4: Simplify right side
    10,613.76x = 93,933,449.63
  5. Step 5: Solve for x
    x = 93,933,449.63/10,613.76
  6. Step 6: Final answer
    x = 8,850.16

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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.