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Finding the Fourth Proportional to 6,585.86, 9,882.94 and 4,803.60

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Solution

The fourth proportional to 6,585.86, 9,882.94 and 4,803.60 is: 7,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.86 : 9,882.94 = 4,803.60 : x
  2. Step 2: Convert to fraction form
    6,585.86/9,882.94 = 4,803.60/x
  3. Step 3: Cross multiply
    6,585.86x = 9,882.94 × 4,803.60
  4. Step 4: Simplify right side
    6,585.86x = 47,473,690.58
  5. Step 5: Solve for x
    x = 47,473,690.58/6,585.86
  6. Step 6: Final answer
    x = 7,208.43

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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.