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Finding the Fourth Proportional to 10,783.42, 14,874.18 and 6,953.38

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Solution

The fourth proportional to 10,783.42, 14,874.18 and 6,953.38 is: 9,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.42 : 14,874.18 = 6,953.38 : x
  2. Step 2: Convert to fraction form
    10,783.42/14,874.18 = 6,953.38/x
  3. Step 3: Cross multiply
    10,783.42x = 14,874.18 × 6,953.38
  4. Step 4: Simplify right side
    10,783.42x = 103,425,825.73
  5. Step 5: Solve for x
    x = 103,425,825.73/10,783.42
  6. Step 6: Final answer
    x = 9,591.19

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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.