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Finding the Fourth Proportional to 11,776.76, 16,251 and 6,741.08

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Solution

The fourth proportional to 11,776.76, 16,251 and 6,741.08 is: 9,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.76 : 16,251 = 6,741.08 : x
  2. Step 2: Convert to fraction form
    11,776.76/16,251 = 6,741.08/x
  3. Step 3: Cross multiply
    11,776.76x = 16,251 × 6,741.08
  4. Step 4: Simplify right side
    11,776.76x = 109,549,291.08
  5. Step 5: Solve for x
    x = 109,549,291.08/11,776.76
  6. Step 6: Final answer
    x = 9,302.16

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Double scale
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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.