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Finding the Fourth Proportional to 9,698.64, 13,384 and 5,506.62

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Solution

The fourth proportional to 9,698.64, 13,384 and 5,506.62 is: 7,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.64 : 13,384 = 5,506.62 : x
  2. Step 2: Convert to fraction form
    9,698.64/13,384 = 5,506.62/x
  3. Step 3: Cross multiply
    9,698.64x = 13,384 × 5,506.62
  4. Step 4: Simplify right side
    9,698.64x = 73,700,602.08
  5. Step 5: Solve for x
    x = 73,700,602.08/9,698.64
  6. Step 6: Final answer
    x = 7,599.07

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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.