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Finding the Fourth Proportional to 9,527.99, 13,141.40 and 8,347.01

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Solution

The fourth proportional to 9,527.99, 13,141.40 and 8,347.01 is: 11,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.99 : 13,141.40 = 8,347.01 : x
  2. Step 2: Convert to fraction form
    9,527.99/13,141.40 = 8,347.01/x
  3. Step 3: Cross multiply
    9,527.99x = 13,141.40 × 8,347.01
  4. Step 4: Simplify right side
    9,527.99x = 109,691,397.21
  5. Step 5: Solve for x
    x = 109,691,397.21/9,527.99
  6. Step 6: Final answer
    x = 11,512.54

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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.