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Finding the Fourth Proportional to 16,547.31, 24,807.01 and 7,180.28

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Solution

The fourth proportional to 16,547.31, 24,807.01 and 7,180.28 is: 10,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.31 : 24,807.01 = 7,180.28 : x
  2. Step 2: Convert to fraction form
    16,547.31/24,807.01 = 7,180.28/x
  3. Step 3: Cross multiply
    16,547.31x = 24,807.01 × 7,180.28
  4. Step 4: Simplify right side
    16,547.31x = 178,121,381.81
  5. Step 5: Solve for x
    x = 178,121,381.81/16,547.31
  6. Step 6: Final answer
    x = 10,764.37

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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.