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Finding the Fourth Proportional to 7,260.64, 10,019.80 and 4,074.64

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Solution

The fourth proportional to 7,260.64, 10,019.80 and 4,074.64 is: 5,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.64 : 10,019.80 = 4,074.64 : x
  2. Step 2: Convert to fraction form
    7,260.64/10,019.80 = 4,074.64/x
  3. Step 3: Cross multiply
    7,260.64x = 10,019.80 × 4,074.64
  4. Step 4: Simplify right side
    7,260.64x = 40,827,057.92
  5. Step 5: Solve for x
    x = 40,827,057.92/7,260.64
  6. Step 6: Final answer
    x = 5,623.07

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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.