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Finding the Fourth Proportional to 4,725.69, 7,088.79 and 1,764.90

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Solution

The fourth proportional to 4,725.69, 7,088.79 and 1,764.90 is: 2,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.69 : 7,088.79 = 1,764.90 : x
  2. Step 2: Convert to fraction form
    4,725.69/7,088.79 = 1,764.90/x
  3. Step 3: Cross multiply
    4,725.69x = 7,088.79 × 1,764.90
  4. Step 4: Simplify right side
    4,725.69x = 12,511,005.47
  5. Step 5: Solve for x
    x = 12,511,005.47/4,725.69
  6. Step 6: Final answer
    x = 2,647.45

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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.