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Finding the Fourth Proportional to 12,564.84, 17,339.40 and 6,899.68

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Solution

The fourth proportional to 12,564.84, 17,339.40 and 6,899.68 is: 9,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.84 : 17,339.40 = 6,899.68 : x
  2. Step 2: Convert to fraction form
    12,564.84/17,339.40 = 6,899.68/x
  3. Step 3: Cross multiply
    12,564.84x = 17,339.40 × 6,899.68
  4. Step 4: Simplify right side
    12,564.84x = 119,636,311.39
  5. Step 5: Solve for x
    x = 119,636,311.39/12,564.84
  6. Step 6: Final answer
    x = 9,521.51

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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.