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Finding the Fourth Proportional to 9,600.81, 13,255.16 and 7,358.46

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Solution

The fourth proportional to 9,600.81, 13,255.16 and 7,358.46 is: 10,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.81 : 13,255.16 = 7,358.46 : x
  2. Step 2: Convert to fraction form
    9,600.81/13,255.16 = 7,358.46/x
  3. Step 3: Cross multiply
    9,600.81x = 13,255.16 × 7,358.46
  4. Step 4: Simplify right side
    9,600.81x = 97,537,527.86
  5. Step 5: Solve for x
    x = 97,537,527.86/9,600.81
  6. Step 6: Final answer
    x = 10,159.30

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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.