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Finding the Fourth Proportional to 6,197.86, 8,554.05 and 4,783.60

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Solution

The fourth proportional to 6,197.86, 8,554.05 and 4,783.60 is: 6,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.86 : 8,554.05 = 4,783.60 : x
  2. Step 2: Convert to fraction form
    6,197.86/8,554.05 = 4,783.60/x
  3. Step 3: Cross multiply
    6,197.86x = 8,554.05 × 4,783.60
  4. Step 4: Simplify right side
    6,197.86x = 40,919,153.58
  5. Step 5: Solve for x
    x = 40,919,153.58/6,197.86
  6. Step 6: Final answer
    x = 6,602.14

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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.