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Finding the Fourth Proportional to 5,262.84, 7,893.64 and 1,564.70

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Solution

The fourth proportional to 5,262.84, 7,893.64 and 1,564.70 is: 2,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.84 : 7,893.64 = 1,564.70 : x
  2. Step 2: Convert to fraction form
    5,262.84/7,893.64 = 1,564.70/x
  3. Step 3: Cross multiply
    5,262.84x = 7,893.64 × 1,564.70
  4. Step 4: Simplify right side
    5,262.84x = 12,351,178.51
  5. Step 5: Solve for x
    x = 12,351,178.51/5,262.84
  6. Step 6: Final answer
    x = 2,346.87

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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.