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Finding the Fourth Proportional to 8,547.12, 11,787.12 and 6,557.76

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Solution

The fourth proportional to 8,547.12, 11,787.12 and 6,557.76 is: 9,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.12 : 11,787.12 = 6,557.76 : x
  2. Step 2: Convert to fraction form
    8,547.12/11,787.12 = 6,557.76/x
  3. Step 3: Cross multiply
    8,547.12x = 11,787.12 × 6,557.76
  4. Step 4: Simplify right side
    8,547.12x = 77,297,104.05
  5. Step 5: Solve for x
    x = 77,297,104.05/8,547.12
  6. Step 6: Final answer
    x = 9,043.64

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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.