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Finding the Fourth Proportional to 9,470.97, 14,205.95 and 2,897.16

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Solution

The fourth proportional to 9,470.97, 14,205.95 and 2,897.16 is: 4,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.97 : 14,205.95 = 2,897.16 : x
  2. Step 2: Convert to fraction form
    9,470.97/14,205.95 = 2,897.16/x
  3. Step 3: Cross multiply
    9,470.97x = 14,205.95 × 2,897.16
  4. Step 4: Simplify right side
    9,470.97x = 41,156,906.48
  5. Step 5: Solve for x
    x = 41,156,906.48/9,470.97
  6. Step 6: Final answer
    x = 4,345.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.