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Finding the Fourth Proportional to 9,847.11, 13,585.84 and 7,014.95

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Solution

The fourth proportional to 9,847.11, 13,585.84 and 7,014.95 is: 9,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.11 : 13,585.84 = 7,014.95 : x
  2. Step 2: Convert to fraction form
    9,847.11/13,585.84 = 7,014.95/x
  3. Step 3: Cross multiply
    9,847.11x = 13,585.84 × 7,014.95
  4. Step 4: Simplify right side
    9,847.11x = 95,303,988.31
  5. Step 5: Solve for x
    x = 95,303,988.31/9,847.11
  6. Step 6: Final answer
    x = 9,678.37

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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.