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Finding the Fourth Proportional to 9,903.34, 13,666.14 and 5,926.64

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Solution

The fourth proportional to 9,903.34, 13,666.14 and 5,926.64 is: 8,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.34 : 13,666.14 = 5,926.64 : x
  2. Step 2: Convert to fraction form
    9,903.34/13,666.14 = 5,926.64/x
  3. Step 3: Cross multiply
    9,903.34x = 13,666.14 × 5,926.64
  4. Step 4: Simplify right side
    9,903.34x = 80,994,291.97
  5. Step 5: Solve for x
    x = 80,994,291.97/9,903.34
  6. Step 6: Final answer
    x = 8,178.48

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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.