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Finding the Fourth Proportional to 9,903.74, 14,855.64 and 2,978.24

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Solution

The fourth proportional to 9,903.74, 14,855.64 and 2,978.24 is: 4,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.74 : 14,855.64 = 2,978.24 : x
  2. Step 2: Convert to fraction form
    9,903.74/14,855.64 = 2,978.24/x
  3. Step 3: Cross multiply
    9,903.74x = 14,855.64 × 2,978.24
  4. Step 4: Simplify right side
    9,903.74x = 44,243,575.83
  5. Step 5: Solve for x
    x = 44,243,575.83/9,903.74
  6. Step 6: Final answer
    x = 4,467.36

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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.