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Finding the Fourth Proportional to 5,262.60, 7,894.32 and 1,564.76

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Solution

The fourth proportional to 5,262.60, 7,894.32 and 1,564.76 is: 2,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.60 : 7,894.32 = 1,564.76 : x
  2. Step 2: Convert to fraction form
    5,262.60/7,894.32 = 1,564.76/x
  3. Step 3: Cross multiply
    5,262.60x = 7,894.32 × 1,564.76
  4. Step 4: Simplify right side
    5,262.60x = 12,352,716.16
  5. Step 5: Solve for x
    x = 12,352,716.16/5,262.60
  6. Step 6: Final answer
    x = 2,347.26

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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.