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Finding the Fourth Proportional to 8,547.17, 11,784.29 and 7,269.80

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Solution

The fourth proportional to 8,547.17, 11,784.29 and 7,269.80 is: 10,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.17 : 11,784.29 = 7,269.80 : x
  2. Step 2: Convert to fraction form
    8,547.17/11,784.29 = 7,269.80/x
  3. Step 3: Cross multiply
    8,547.17x = 11,784.29 × 7,269.80
  4. Step 4: Simplify right side
    8,547.17x = 85,669,336.17
  5. Step 5: Solve for x
    x = 85,669,336.17/8,547.17
  6. Step 6: Final answer
    x = 10,023.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.