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Finding the Fourth Proportional to 17,384.64, 23,988 and 9,830.72

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Solution

The fourth proportional to 17,384.64, 23,988 and 9,830.72 is: 13,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.64 : 23,988 = 9,830.72 : x
  2. Step 2: Convert to fraction form
    17,384.64/23,988 = 9,830.72/x
  3. Step 3: Cross multiply
    17,384.64x = 23,988 × 9,830.72
  4. Step 4: Simplify right side
    17,384.64x = 235,819,311.36
  5. Step 5: Solve for x
    x = 235,819,311.36/17,384.64
  6. Step 6: Final answer
    x = 13,564.81

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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.