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Finding the Fourth Proportional to 14,542.16, 20,068.36 and 7,918.16

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Solution

The fourth proportional to 14,542.16, 20,068.36 and 7,918.16 is: 10,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.16 : 20,068.36 = 7,918.16 : x
  2. Step 2: Convert to fraction form
    14,542.16/20,068.36 = 7,918.16/x
  3. Step 3: Cross multiply
    14,542.16x = 20,068.36 × 7,918.16
  4. Step 4: Simplify right side
    14,542.16x = 158,904,485.42
  5. Step 5: Solve for x
    x = 158,904,485.42/14,542.16
  6. Step 6: Final answer
    x = 10,927.16

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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.