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Finding the Fourth Proportional to 11,707.71, 17,535.06 and 9,056.58

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Solution

The fourth proportional to 11,707.71, 17,535.06 and 9,056.58 is: 13,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.71 : 17,535.06 = 9,056.58 : x
  2. Step 2: Convert to fraction form
    11,707.71/17,535.06 = 9,056.58/x
  3. Step 3: Cross multiply
    11,707.71x = 17,535.06 × 9,056.58
  4. Step 4: Simplify right side
    11,707.71x = 158,807,673.69
  5. Step 5: Solve for x
    x = 158,807,673.69/11,707.71
  6. Step 6: Final answer
    x = 13,564.37

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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.