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Finding the Fourth Proportional to 7,646.71, 11,470.04 and 2,100.06

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Solution

The fourth proportional to 7,646.71, 11,470.04 and 2,100.06 is: 3,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.71 : 11,470.04 = 2,100.06 : x
  2. Step 2: Convert to fraction form
    7,646.71/11,470.04 = 2,100.06/x
  3. Step 3: Cross multiply
    7,646.71x = 11,470.04 × 2,100.06
  4. Step 4: Simplify right side
    7,646.71x = 24,087,746.63
  5. Step 5: Solve for x
    x = 24,087,746.63/7,646.71
  6. Step 6: Final answer
    x = 3,150.08

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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.