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Finding the Fourth Proportional to 10,322.64, 15,498.54 and 6,564.65

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Solution

The fourth proportional to 10,322.64, 15,498.54 and 6,564.65 is: 9,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.64 : 15,498.54 = 6,564.65 : x
  2. Step 2: Convert to fraction form
    10,322.64/15,498.54 = 6,564.65/x
  3. Step 3: Cross multiply
    10,322.64x = 15,498.54 × 6,564.65
  4. Step 4: Simplify right side
    10,322.64x = 101,742,413.12
  5. Step 5: Solve for x
    x = 101,742,413.12/10,322.64
  6. Step 6: Final answer
    x = 9,856.24

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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.