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Finding the Fourth Proportional to 14,905, 20,563.66 and 8,938.60

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Solution

The fourth proportional to 14,905, 20,563.66 and 8,938.60 is: 12,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905 : 20,563.66 = 8,938.60 : x
  2. Step 2: Convert to fraction form
    14,905/20,563.66 = 8,938.60/x
  3. Step 3: Cross multiply
    14,905x = 20,563.66 × 8,938.60
  4. Step 4: Simplify right side
    14,905x = 183,810,331.28
  5. Step 5: Solve for x
    x = 183,810,331.28/14,905
  6. Step 6: Final answer
    x = 12,332.13

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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.