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Finding the Fourth Proportional to 5,690.06, 7,848.21 and 4,627.86

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Solution

The fourth proportional to 5,690.06, 7,848.21 and 4,627.86 is: 6,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.06 : 7,848.21 = 4,627.86 : x
  2. Step 2: Convert to fraction form
    5,690.06/7,848.21 = 4,627.86/x
  3. Step 3: Cross multiply
    5,690.06x = 7,848.21 × 4,627.86
  4. Step 4: Simplify right side
    5,690.06x = 36,320,417.13
  5. Step 5: Solve for x
    x = 36,320,417.13/5,690.06
  6. Step 6: Final answer
    x = 6,383.13

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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.