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Finding the Fourth Proportional to 4,649.58, 6,972.75 and 1,528.74

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Solution

The fourth proportional to 4,649.58, 6,972.75 and 1,528.74 is: 2,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.58 : 6,972.75 = 1,528.74 : x
  2. Step 2: Convert to fraction form
    4,649.58/6,972.75 = 1,528.74/x
  3. Step 3: Cross multiply
    4,649.58x = 6,972.75 × 1,528.74
  4. Step 4: Simplify right side
    4,649.58x = 10,659,521.84
  5. Step 5: Solve for x
    x = 10,659,521.84/4,649.58
  6. Step 6: Final answer
    x = 2,292.58

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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.