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Finding the Fourth Proportional to 11,496.81, 15,856.08 and 9,708.42

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Solution

The fourth proportional to 11,496.81, 15,856.08 and 9,708.42 is: 13,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.81 : 15,856.08 = 9,708.42 : x
  2. Step 2: Convert to fraction form
    11,496.81/15,856.08 = 9,708.42/x
  3. Step 3: Cross multiply
    11,496.81x = 15,856.08 × 9,708.42
  4. Step 4: Simplify right side
    11,496.81x = 153,937,484.19
  5. Step 5: Solve for x
    x = 153,937,484.19/11,496.81
  6. Step 6: Final answer
    x = 13,389.58

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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.