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Finding the Fourth Proportional to 14,064.48, 19,409.04 and 7,776.96

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Solution

The fourth proportional to 14,064.48, 19,409.04 and 7,776.96 is: 10,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.48 : 19,409.04 = 7,776.96 : x
  2. Step 2: Convert to fraction form
    14,064.48/19,409.04 = 7,776.96/x
  3. Step 3: Cross multiply
    14,064.48x = 19,409.04 × 7,776.96
  4. Step 4: Simplify right side
    14,064.48x = 150,943,327.72
  5. Step 5: Solve for x
    x = 150,943,327.72/14,064.48
  6. Step 6: Final answer
    x = 10,732.24

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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.