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Finding the Fourth Proportional to 6,604.94, 9,904.53 and 2,498.06

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Solution

The fourth proportional to 6,604.94, 9,904.53 and 2,498.06 is: 3,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.94 : 9,904.53 = 2,498.06 : x
  2. Step 2: Convert to fraction form
    6,604.94/9,904.53 = 2,498.06/x
  3. Step 3: Cross multiply
    6,604.94x = 9,904.53 × 2,498.06
  4. Step 4: Simplify right side
    6,604.94x = 24,742,144.34
  5. Step 5: Solve for x
    x = 24,742,144.34/6,604.94
  6. Step 6: Final answer
    x = 3,746.00

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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.