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Finding the Fourth Proportional to 4,776.12, 7,164.18 and 4,523.40

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Solution

The fourth proportional to 4,776.12, 7,164.18 and 4,523.40 is: 6,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.12 : 7,164.18 = 4,523.40 : x
  2. Step 2: Convert to fraction form
    4,776.12/7,164.18 = 4,523.40/x
  3. Step 3: Cross multiply
    4,776.12x = 7,164.18 × 4,523.40
  4. Step 4: Simplify right side
    4,776.12x = 32,406,451.81
  5. Step 5: Solve for x
    x = 32,406,451.81/4,776.12
  6. Step 6: Final answer
    x = 6,785.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.