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Finding the Fourth Proportional to 10,005.84, 13,803.84 and 7,023.69

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Solution

The fourth proportional to 10,005.84, 13,803.84 and 7,023.69 is: 9,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.84 : 13,803.84 = 7,023.69 : x
  2. Step 2: Convert to fraction form
    10,005.84/13,803.84 = 7,023.69/x
  3. Step 3: Cross multiply
    10,005.84x = 13,803.84 × 7,023.69
  4. Step 4: Simplify right side
    10,005.84x = 96,953,892.97
  5. Step 5: Solve for x
    x = 96,953,892.97/10,005.84
  6. Step 6: Final answer
    x = 9,689.73

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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.