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Finding the Fourth Proportional to 14,903.16, 20,566 and 8,097.08

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Solution

The fourth proportional to 14,903.16, 20,566 and 8,097.08 is: 11,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.16 : 20,566 = 8,097.08 : x
  2. Step 2: Convert to fraction form
    14,903.16/20,566 = 8,097.08/x
  3. Step 3: Cross multiply
    14,903.16x = 20,566 × 8,097.08
  4. Step 4: Simplify right side
    14,903.16x = 166,524,547.28
  5. Step 5: Solve for x
    x = 166,524,547.28/14,903.16
  6. Step 6: Final answer
    x = 11,173.77

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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.