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Finding the Fourth Proportional to 7,492.10, 11,228.43 and 5,023.22

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Solution

The fourth proportional to 7,492.10, 11,228.43 and 5,023.22 is: 7,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.10 : 11,228.43 = 5,023.22 : x
  2. Step 2: Convert to fraction form
    7,492.10/11,228.43 = 5,023.22/x
  3. Step 3: Cross multiply
    7,492.10x = 11,228.43 × 5,023.22
  4. Step 4: Simplify right side
    7,492.10x = 56,402,874.14
  5. Step 5: Solve for x
    x = 56,402,874.14/7,492.10
  6. Step 6: Final answer
    x = 7,528.31

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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.