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Finding the Fourth Proportional to 4,777.63, 7,166.90 and 1,856.16

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Solution

The fourth proportional to 4,777.63, 7,166.90 and 1,856.16 is: 2,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.63 : 7,166.90 = 1,856.16 : x
  2. Step 2: Convert to fraction form
    4,777.63/7,166.90 = 1,856.16/x
  3. Step 3: Cross multiply
    4,777.63x = 7,166.90 × 1,856.16
  4. Step 4: Simplify right side
    4,777.63x = 13,302,913.10
  5. Step 5: Solve for x
    x = 13,302,913.10/4,777.63
  6. Step 6: Final answer
    x = 2,784.42

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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.