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Finding the Fourth Proportional to 8,996.70, 12,410.10 and 7,004.10

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Solution

The fourth proportional to 8,996.70, 12,410.10 and 7,004.10 is: 9,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.70 : 12,410.10 = 7,004.10 : x
  2. Step 2: Convert to fraction form
    8,996.70/12,410.10 = 7,004.10/x
  3. Step 3: Cross multiply
    8,996.70x = 12,410.10 × 7,004.10
  4. Step 4: Simplify right side
    8,996.70x = 86,921,581.41
  5. Step 5: Solve for x
    x = 86,921,581.41/8,996.70
  6. Step 6: Final answer
    x = 9,661.50

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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.