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Finding the Fourth Proportional to 9,707.01, 14,538.84 and 8,441.37

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Solution

The fourth proportional to 9,707.01, 14,538.84 and 8,441.37 is: 12,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.01 : 14,538.84 = 8,441.37 : x
  2. Step 2: Convert to fraction form
    9,707.01/14,538.84 = 8,441.37/x
  3. Step 3: Cross multiply
    9,707.01x = 14,538.84 × 8,441.37
  4. Step 4: Simplify right side
    9,707.01x = 122,727,727.81
  5. Step 5: Solve for x
    x = 122,727,727.81/9,707.01
  6. Step 6: Final answer
    x = 12,643.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.