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Finding the Fourth Proportional to 10,274.16, 14,181.84 and 7,913.28

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Solution

The fourth proportional to 10,274.16, 14,181.84 and 7,913.28 is: 10,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.16 : 14,181.84 = 7,913.28 : x
  2. Step 2: Convert to fraction form
    10,274.16/14,181.84 = 7,913.28/x
  3. Step 3: Cross multiply
    10,274.16x = 14,181.84 × 7,913.28
  4. Step 4: Simplify right side
    10,274.16x = 112,224,870.84
  5. Step 5: Solve for x
    x = 112,224,870.84/10,274.16
  6. Step 6: Final answer
    x = 10,923.02

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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.