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Finding the Fourth Proportional to 14,113, 19,476.42 and 9,153.64

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Solution

The fourth proportional to 14,113, 19,476.42 and 9,153.64 is: 12,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113 : 19,476.42 = 9,153.64 : x
  2. Step 2: Convert to fraction form
    14,113/19,476.42 = 9,153.64/x
  3. Step 3: Cross multiply
    14,113x = 19,476.42 × 9,153.64
  4. Step 4: Simplify right side
    14,113x = 178,280,137.17
  5. Step 5: Solve for x
    x = 178,280,137.17/14,113
  6. Step 6: Final answer
    x = 12,632.33

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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.