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Finding the Fourth Proportional to 14,445, 19,923.84 and 9,134.64

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Solution

The fourth proportional to 14,445, 19,923.84 and 9,134.64 is: 12,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 19,923.84 = 9,134.64 : x
  2. Step 2: Convert to fraction form
    14,445/19,923.84 = 9,134.64/x
  3. Step 3: Cross multiply
    14,445x = 19,923.84 × 9,134.64
  4. Step 4: Simplify right side
    14,445x = 181,997,105.82
  5. Step 5: Solve for x
    x = 181,997,105.82/14,445
  6. Step 6: Final answer
    x = 12,599.32

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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.