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Finding the Fourth Proportional to 16,547.67, 24,807.53 and 7,180.63

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Solution

The fourth proportional to 16,547.67, 24,807.53 and 7,180.63 is: 10,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.67 : 24,807.53 = 7,180.63 : x
  2. Step 2: Convert to fraction form
    16,547.67/24,807.53 = 7,180.63/x
  3. Step 3: Cross multiply
    16,547.67x = 24,807.53 × 7,180.63
  4. Step 4: Simplify right side
    16,547.67x = 178,133,650.08
  5. Step 5: Solve for x
    x = 178,133,650.08/16,547.67
  6. Step 6: Final answer
    x = 10,764.88

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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.