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Finding the Fourth Proportional to 9,912.96, 14,869.48 and 4,068.24

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Solution

The fourth proportional to 9,912.96, 14,869.48 and 4,068.24 is: 6,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.96 : 14,869.48 = 4,068.24 : x
  2. Step 2: Convert to fraction form
    9,912.96/14,869.48 = 4,068.24/x
  3. Step 3: Cross multiply
    9,912.96x = 14,869.48 × 4,068.24
  4. Step 4: Simplify right side
    9,912.96x = 60,492,613.32
  5. Step 5: Solve for x
    x = 60,492,613.32/9,912.96
  6. Step 6: Final answer
    x = 6,102.38

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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.