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Finding the Fourth Proportional to 30,009.08, 45,013.64 and 7,822.40

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Solution

The fourth proportional to 30,009.08, 45,013.64 and 7,822.40 is: 11,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.08 : 45,013.64 = 7,822.40 : x
  2. Step 2: Convert to fraction form
    30,009.08/45,013.64 = 7,822.40/x
  3. Step 3: Cross multiply
    30,009.08x = 45,013.64 × 7,822.40
  4. Step 4: Simplify right side
    30,009.08x = 352,114,697.54
  5. Step 5: Solve for x
    x = 352,114,697.54/30,009.08
  6. Step 6: Final answer
    x = 11,733.61

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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.