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Finding the Fourth Proportional to 10,493.42, 15,746.94 and 9,801.81

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Solution

The fourth proportional to 10,493.42, 15,746.94 and 9,801.81 is: 14,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.42 : 15,746.94 = 9,801.81 : x
  2. Step 2: Convert to fraction form
    10,493.42/15,746.94 = 9,801.81/x
  3. Step 3: Cross multiply
    10,493.42x = 15,746.94 × 9,801.81
  4. Step 4: Simplify right side
    10,493.42x = 154,348,513.96
  5. Step 5: Solve for x
    x = 154,348,513.96/10,493.42
  6. Step 6: Final answer
    x = 14,709.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.