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Finding the Fourth Proportional to 17,483.60, 24,130 and 9,930.72

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Solution

The fourth proportional to 17,483.60, 24,130 and 9,930.72 is: 13,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,483.60 : 24,130 = 9,930.72 : x
  2. Step 2: Convert to fraction form
    17,483.60/24,130 = 9,930.72/x
  3. Step 3: Cross multiply
    17,483.60x = 24,130 × 9,930.72
  4. Step 4: Simplify right side
    17,483.60x = 239,628,273.60
  5. Step 5: Solve for x
    x = 239,628,273.60/17,483.60
  6. Step 6: Final answer
    x = 13,705.89

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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.