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Finding the Fourth Proportional to 32,983.64, 49,483.62 and 9,610.28

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Solution

The fourth proportional to 32,983.64, 49,483.62 and 9,610.28 is: 14,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.64 : 49,483.62 = 9,610.28 : x
  2. Step 2: Convert to fraction form
    32,983.64/49,483.62 = 9,610.28/x
  3. Step 3: Cross multiply
    32,983.64x = 49,483.62 × 9,610.28
  4. Step 4: Simplify right side
    32,983.64x = 475,551,443.61
  5. Step 5: Solve for x
    x = 475,551,443.61/32,983.64
  6. Step 6: Final answer
    x = 14,417.80

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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.