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Finding the Fourth Proportional to 9,101.14, 12,527.99 and 7,846.35

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Solution

The fourth proportional to 9,101.14, 12,527.99 and 7,846.35 is: 10,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.14 : 12,527.99 = 7,846.35 : x
  2. Step 2: Convert to fraction form
    9,101.14/12,527.99 = 7,846.35/x
  3. Step 3: Cross multiply
    9,101.14x = 12,527.99 × 7,846.35
  4. Step 4: Simplify right side
    9,101.14x = 98,298,994.34
  5. Step 5: Solve for x
    x = 98,298,994.34/9,101.14
  6. Step 6: Final answer
    x = 10,800.73

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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.