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Finding the Fourth Proportional to 7,523, 11,285.10 and 2,328.86

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Solution

The fourth proportional to 7,523, 11,285.10 and 2,328.86 is: 3,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523 : 11,285.10 = 2,328.86 : x
  2. Step 2: Convert to fraction form
    7,523/11,285.10 = 2,328.86/x
  3. Step 3: Cross multiply
    7,523x = 11,285.10 × 2,328.86
  4. Step 4: Simplify right side
    7,523x = 26,281,417.99
  5. Step 5: Solve for x
    x = 26,281,417.99/7,523
  6. Step 6: Final answer
    x = 3,493.48

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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.