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Finding the Fourth Proportional to 16,547.96, 24,807.99 and 7,180.94

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Solution

The fourth proportional to 16,547.96, 24,807.99 and 7,180.94 is: 10,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.96 : 24,807.99 = 7,180.94 : x
  2. Step 2: Convert to fraction form
    16,547.96/24,807.99 = 7,180.94/x
  3. Step 3: Cross multiply
    16,547.96x = 24,807.99 × 7,180.94
  4. Step 4: Simplify right side
    16,547.96x = 178,144,687.71
  5. Step 5: Solve for x
    x = 178,144,687.71/16,547.96
  6. Step 6: Final answer
    x = 10,765.36

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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.