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Finding the Fourth Proportional to 10,013.54, 13,819.41 and 7,030.04

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Solution

The fourth proportional to 10,013.54, 13,819.41 and 7,030.04 is: 9,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.54 : 13,819.41 = 7,030.04 : x
  2. Step 2: Convert to fraction form
    10,013.54/13,819.41 = 7,030.04/x
  3. Step 3: Cross multiply
    10,013.54x = 13,819.41 × 7,030.04
  4. Step 4: Simplify right side
    10,013.54x = 97,150,935.98
  5. Step 5: Solve for x
    x = 97,150,935.98/10,013.54
  6. Step 6: Final answer
    x = 9,701.96

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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.