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Finding the Fourth Proportional to 16,574.30, 24,869.55 and 7,807.70

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Solution

The fourth proportional to 16,574.30, 24,869.55 and 7,807.70 is: 11,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.30 : 24,869.55 = 7,807.70 : x
  2. Step 2: Convert to fraction form
    16,574.30/24,869.55 = 7,807.70/x
  3. Step 3: Cross multiply
    16,574.30x = 24,869.55 × 7,807.70
  4. Step 4: Simplify right side
    16,574.30x = 194,173,985.54
  5. Step 5: Solve for x
    x = 194,173,985.54/16,574.30
  6. Step 6: Final answer
    x = 11,715.37

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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.