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Finding the Fourth Proportional to 6,287.64, 9,430.10 and 1,904.20

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Solution

The fourth proportional to 6,287.64, 9,430.10 and 1,904.20 is: 2,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.64 : 9,430.10 = 1,904.20 : x
  2. Step 2: Convert to fraction form
    6,287.64/9,430.10 = 1,904.20/x
  3. Step 3: Cross multiply
    6,287.64x = 9,430.10 × 1,904.20
  4. Step 4: Simplify right side
    6,287.64x = 17,956,796.42
  5. Step 5: Solve for x
    x = 17,956,796.42/6,287.64
  6. Step 6: Final answer
    x = 2,855.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.