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Finding the Fourth Proportional to 5,946.84, 8,919.54 and 1,564.63

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Solution

The fourth proportional to 5,946.84, 8,919.54 and 1,564.63 is: 2,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.84 : 8,919.54 = 1,564.63 : x
  2. Step 2: Convert to fraction form
    5,946.84/8,919.54 = 1,564.63/x
  3. Step 3: Cross multiply
    5,946.84x = 8,919.54 × 1,564.63
  4. Step 4: Simplify right side
    5,946.84x = 13,955,779.87
  5. Step 5: Solve for x
    x = 13,955,779.87/5,946.84
  6. Step 6: Final answer
    x = 2,346.76

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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.