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Finding the Fourth Proportional to 10,653.03, 15,981.84 and 3,258

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Solution

The fourth proportional to 10,653.03, 15,981.84 and 3,258 is: 4,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.03 : 15,981.84 = 3,258 : x
  2. Step 2: Convert to fraction form
    10,653.03/15,981.84 = 3,258/x
  3. Step 3: Cross multiply
    10,653.03x = 15,981.84 × 3,258
  4. Step 4: Simplify right side
    10,653.03x = 52,068,834.72
  5. Step 5: Solve for x
    x = 52,068,834.72/10,653.03
  6. Step 6: Final answer
    x = 4,887.70

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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.