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Finding the Fourth Proportional to 6,222.88, 9,332.84 and 1,780.40

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Solution

The fourth proportional to 6,222.88, 9,332.84 and 1,780.40 is: 2,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.88 : 9,332.84 = 1,780.40 : x
  2. Step 2: Convert to fraction form
    6,222.88/9,332.84 = 1,780.40/x
  3. Step 3: Cross multiply
    6,222.88x = 9,332.84 × 1,780.40
  4. Step 4: Simplify right side
    6,222.88x = 16,616,216.12
  5. Step 5: Solve for x
    x = 16,616,216.12/6,222.88
  6. Step 6: Final answer
    x = 2,670.18

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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.