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Finding the Fourth Proportional to 6,874.76, 9,492.10 and 4,225.72

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Solution

The fourth proportional to 6,874.76, 9,492.10 and 4,225.72 is: 5,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.76 : 9,492.10 = 4,225.72 : x
  2. Step 2: Convert to fraction form
    6,874.76/9,492.10 = 4,225.72/x
  3. Step 3: Cross multiply
    6,874.76x = 9,492.10 × 4,225.72
  4. Step 4: Simplify right side
    6,874.76x = 40,110,956.81
  5. Step 5: Solve for x
    x = 40,110,956.81/6,874.76
  6. Step 6: Final answer
    x = 5,834.52

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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.