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Finding the Fourth Proportional to 6,653.12, 9,977.65 and 2,210.00

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Solution

The fourth proportional to 6,653.12, 9,977.65 and 2,210.00 is: 3,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.12 : 9,977.65 = 2,210.00 : x
  2. Step 2: Convert to fraction form
    6,653.12/9,977.65 = 2,210.00/x
  3. Step 3: Cross multiply
    6,653.12x = 9,977.65 × 2,210.00
  4. Step 4: Simplify right side
    6,653.12x = 22,050,551.09
  5. Step 5: Solve for x
    x = 22,050,551.09/6,653.12
  6. Step 6: Final answer
    x = 3,314.32

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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.