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Finding the Fourth Proportional to 9,700.56, 13,386.06 and 5,508

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Solution

The fourth proportional to 9,700.56, 13,386.06 and 5,508 is: 7,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.56 : 13,386.06 = 5,508 : x
  2. Step 2: Convert to fraction form
    9,700.56/13,386.06 = 5,508/x
  3. Step 3: Cross multiply
    9,700.56x = 13,386.06 × 5,508
  4. Step 4: Simplify right side
    9,700.56x = 73,730,418.48
  5. Step 5: Solve for x
    x = 73,730,418.48/9,700.56
  6. Step 6: Final answer
    x = 7,600.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.