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Finding the Fourth Proportional to 4,774.92, 7,152.64 and 4,283.24

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Solution

The fourth proportional to 4,774.92, 7,152.64 and 4,283.24 is: 6,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.92 : 7,152.64 = 4,283.24 : x
  2. Step 2: Convert to fraction form
    4,774.92/7,152.64 = 4,283.24/x
  3. Step 3: Cross multiply
    4,774.92x = 7,152.64 × 4,283.24
  4. Step 4: Simplify right side
    4,774.92x = 30,636,473.75
  5. Step 5: Solve for x
    x = 30,636,473.75/4,774.92
  6. Step 6: Final answer
    x = 6,416.12

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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.