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Finding the Fourth Proportional to 6,225.68, 8,599.86 and 5,782.83

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Solution

The fourth proportional to 6,225.68, 8,599.86 and 5,782.83 is: 7,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.68 : 8,599.86 = 5,782.83 : x
  2. Step 2: Convert to fraction form
    6,225.68/8,599.86 = 5,782.83/x
  3. Step 3: Cross multiply
    6,225.68x = 8,599.86 × 5,782.83
  4. Step 4: Simplify right side
    6,225.68x = 49,731,528.40
  5. Step 5: Solve for x
    x = 49,731,528.40/6,225.68
  6. Step 6: Final answer
    x = 7,988.13

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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.