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Finding the Fourth Proportional to 12,842.48, 17,722.14 and 7,253.48

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Solution

The fourth proportional to 12,842.48, 17,722.14 and 7,253.48 is: 10,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.48 : 17,722.14 = 7,253.48 : x
  2. Step 2: Convert to fraction form
    12,842.48/17,722.14 = 7,253.48/x
  3. Step 3: Cross multiply
    12,842.48x = 17,722.14 × 7,253.48
  4. Step 4: Simplify right side
    12,842.48x = 128,547,188.05
  5. Step 5: Solve for x
    x = 128,547,188.05/12,842.48
  6. Step 6: Final answer
    x = 10,009.53

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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.