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Finding the Fourth Proportional to 7,274.16, 10,037.04 and 4,130.16

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Solution

The fourth proportional to 7,274.16, 10,037.04 and 4,130.16 is: 5,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.16 : 10,037.04 = 4,130.16 : x
  2. Step 2: Convert to fraction form
    7,274.16/10,037.04 = 4,130.16/x
  3. Step 3: Cross multiply
    7,274.16x = 10,037.04 × 4,130.16
  4. Step 4: Simplify right side
    7,274.16x = 41,454,581.13
  5. Step 5: Solve for x
    x = 41,454,581.13/7,274.16
  6. Step 6: Final answer
    x = 5,698.88

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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.