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Finding the Fourth Proportional to 4,597.61, 6,884.10 and 4,009.85

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Solution

The fourth proportional to 4,597.61, 6,884.10 and 4,009.85 is: 6,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.61 : 6,884.10 = 4,009.85 : x
  2. Step 2: Convert to fraction form
    4,597.61/6,884.10 = 4,009.85/x
  3. Step 3: Cross multiply
    4,597.61x = 6,884.10 × 4,009.85
  4. Step 4: Simplify right side
    4,597.61x = 27,604,173.96
  5. Step 5: Solve for x
    x = 27,604,173.96/4,597.61
  6. Step 6: Final answer
    x = 6,004.03

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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.