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Finding the Fourth Proportional to 9,897.66, 14,844.06 and 2,877.48

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Solution

The fourth proportional to 9,897.66, 14,844.06 and 2,877.48 is: 4,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.66 : 14,844.06 = 2,877.48 : x
  2. Step 2: Convert to fraction form
    9,897.66/14,844.06 = 2,877.48/x
  3. Step 3: Cross multiply
    9,897.66x = 14,844.06 × 2,877.48
  4. Step 4: Simplify right side
    9,897.66x = 42,713,485.77
  5. Step 5: Solve for x
    x = 42,713,485.77/9,897.66
  6. Step 6: Final answer
    x = 4,315.51

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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.