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Finding the Fourth Proportional to 14,602.08, 21,896 and 7,204.08

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Solution

The fourth proportional to 14,602.08, 21,896 and 7,204.08 is: 10,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.08 : 21,896 = 7,204.08 : x
  2. Step 2: Convert to fraction form
    14,602.08/21,896 = 7,204.08/x
  3. Step 3: Cross multiply
    14,602.08x = 21,896 × 7,204.08
  4. Step 4: Simplify right side
    14,602.08x = 157,740,535.68
  5. Step 5: Solve for x
    x = 157,740,535.68/14,602.08
  6. Step 6: Final answer
    x = 10,802.61

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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.