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Finding the Fourth Proportional to 9,673.02, 13,378.23 and 8,677.94

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Solution

The fourth proportional to 9,673.02, 13,378.23 and 8,677.94 is: 12,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.02 : 13,378.23 = 8,677.94 : x
  2. Step 2: Convert to fraction form
    9,673.02/13,378.23 = 8,677.94/x
  3. Step 3: Cross multiply
    9,673.02x = 13,378.23 × 8,677.94
  4. Step 4: Simplify right side
    9,673.02x = 116,095,410.36
  5. Step 5: Solve for x
    x = 116,095,410.36/9,673.02
  6. Step 6: Final answer
    x = 12,001.98

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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.