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Finding the Fourth Proportional to 13,033.66, 17,986.23 and 7,368.32

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Solution

The fourth proportional to 13,033.66, 17,986.23 and 7,368.32 is: 10,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.66 : 17,986.23 = 7,368.32 : x
  2. Step 2: Convert to fraction form
    13,033.66/17,986.23 = 7,368.32/x
  3. Step 3: Cross multiply
    13,033.66x = 17,986.23 × 7,368.32
  4. Step 4: Simplify right side
    13,033.66x = 132,528,298.23
  5. Step 5: Solve for x
    x = 132,528,298.23/13,033.66
  6. Step 6: Final answer
    x = 10,168.16

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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.