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Finding the Fourth Proportional to 12,006.46, 16,564.53 and 6,970.06

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Solution

The fourth proportional to 12,006.46, 16,564.53 and 6,970.06 is: 9,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.46 : 16,564.53 = 6,970.06 : x
  2. Step 2: Convert to fraction form
    12,006.46/16,564.53 = 6,970.06/x
  3. Step 3: Cross multiply
    12,006.46x = 16,564.53 × 6,970.06
  4. Step 4: Simplify right side
    12,006.46x = 115,455,767.97
  5. Step 5: Solve for x
    x = 115,455,767.97/12,006.46
  6. Step 6: Final answer
    x = 9,616.14

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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.