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Finding the Fourth Proportional to 8,823.84, 12,089.76 and 8,714.52

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Solution

The fourth proportional to 8,823.84, 12,089.76 and 8,714.52 is: 11,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.84 : 12,089.76 = 8,714.52 : x
  2. Step 2: Convert to fraction form
    8,823.84/12,089.76 = 8,714.52/x
  3. Step 3: Cross multiply
    8,823.84x = 12,089.76 × 8,714.52
  4. Step 4: Simplify right side
    8,823.84x = 105,356,455.32
  5. Step 5: Solve for x
    x = 105,356,455.32/8,823.84
  6. Step 6: Final answer
    x = 11,939.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.