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Finding the Fourth Proportional to 10,699.86, 14,765.88 and 5,984.22

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Solution

The fourth proportional to 10,699.86, 14,765.88 and 5,984.22 is: 8,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.86 : 14,765.88 = 5,984.22 : x
  2. Step 2: Convert to fraction form
    10,699.86/14,765.88 = 5,984.22/x
  3. Step 3: Cross multiply
    10,699.86x = 14,765.88 × 5,984.22
  4. Step 4: Simplify right side
    10,699.86x = 88,362,274.41
  5. Step 5: Solve for x
    x = 88,362,274.41/10,699.86
  6. Step 6: Final answer
    x = 8,258.26

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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.