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Finding the Fourth Proportional to 9,866.76, 13,615.90 and 5,390.64

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Solution

The fourth proportional to 9,866.76, 13,615.90 and 5,390.64 is: 7,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.76 : 13,615.90 = 5,390.64 : x
  2. Step 2: Convert to fraction form
    9,866.76/13,615.90 = 5,390.64/x
  3. Step 3: Cross multiply
    9,866.76x = 13,615.90 × 5,390.64
  4. Step 4: Simplify right side
    9,866.76x = 73,398,415.18
  5. Step 5: Solve for x
    x = 73,398,415.18/9,866.76
  6. Step 6: Final answer
    x = 7,438.96

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1.5x scale

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.