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Finding the Fourth Proportional to 4,773.84, 6,587.60 and 2,784.32

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Solution

The fourth proportional to 4,773.84, 6,587.60 and 2,784.32 is: 3,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.84 : 6,587.60 = 2,784.32 : x
  2. Step 2: Convert to fraction form
    4,773.84/6,587.60 = 2,784.32/x
  3. Step 3: Cross multiply
    4,773.84x = 6,587.60 × 2,784.32
  4. Step 4: Simplify right side
    4,773.84x = 18,341,986.43
  5. Step 5: Solve for x
    x = 18,341,986.43/4,773.84
  6. Step 6: Final answer
    x = 3,842.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.