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Finding the Fourth Proportional to 14,113, 19,477.02 and 7,825.96

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Solution

The fourth proportional to 14,113, 19,477.02 and 7,825.96 is: 10,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113 : 19,477.02 = 7,825.96 : x
  2. Step 2: Convert to fraction form
    14,113/19,477.02 = 7,825.96/x
  3. Step 3: Cross multiply
    14,113x = 19,477.02 × 7,825.96
  4. Step 4: Simplify right side
    14,113x = 152,426,379.44
  5. Step 5: Solve for x
    x = 152,426,379.44/14,113
  6. Step 6: Final answer
    x = 10,800.42

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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.