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Finding the Fourth Proportional to 16,977.70, 25,478.70 and 9,574.30

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Solution

The fourth proportional to 16,977.70, 25,478.70 and 9,574.30 is: 14,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977.70 : 25,478.70 = 9,574.30 : x
  2. Step 2: Convert to fraction form
    16,977.70/25,478.70 = 9,574.30/x
  3. Step 3: Cross multiply
    16,977.70x = 25,478.70 × 9,574.30
  4. Step 4: Simplify right side
    16,977.70x = 243,940,717.41
  5. Step 5: Solve for x
    x = 243,940,717.41/16,977.70
  6. Step 6: Final answer
    x = 14,368.30

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1.5x scale

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.