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Finding the Fourth Proportional to 7,884.50, 10,880.69 and 4,347.83

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Solution

The fourth proportional to 7,884.50, 10,880.69 and 4,347.83 is: 6,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.50 : 10,880.69 = 4,347.83 : x
  2. Step 2: Convert to fraction form
    7,884.50/10,880.69 = 4,347.83/x
  3. Step 3: Cross multiply
    7,884.50x = 10,880.69 × 4,347.83
  4. Step 4: Simplify right side
    7,884.50x = 47,307,368.66
  5. Step 5: Solve for x
    x = 47,307,368.66/7,884.50
  6. Step 6: Final answer
    x = 6,000.05

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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.