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Finding the Fourth Proportional to 7,041.64, 9,715.62 and 4,245.16

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Solution

The fourth proportional to 7,041.64, 9,715.62 and 4,245.16 is: 5,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.64 : 9,715.62 = 4,245.16 : x
  2. Step 2: Convert to fraction form
    7,041.64/9,715.62 = 4,245.16/x
  3. Step 3: Cross multiply
    7,041.64x = 9,715.62 × 4,245.16
  4. Step 4: Simplify right side
    7,041.64x = 41,244,361.40
  5. Step 5: Solve for x
    x = 41,244,361.40/7,041.64
  6. Step 6: Final answer
    x = 5,857.21

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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.