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Finding the Fourth Proportional to 9,714.24, 14,572.08 and 4,715.12

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Solution

The fourth proportional to 9,714.24, 14,572.08 and 4,715.12 is: 7,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.24 : 14,572.08 = 4,715.12 : x
  2. Step 2: Convert to fraction form
    9,714.24/14,572.08 = 4,715.12/x
  3. Step 3: Cross multiply
    9,714.24x = 14,572.08 × 4,715.12
  4. Step 4: Simplify right side
    9,714.24x = 68,709,105.85
  5. Step 5: Solve for x
    x = 68,709,105.85/9,714.24
  6. Step 6: Final answer
    x = 7,073.03

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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.