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Finding the Fourth Proportional to 7,807.02, 11,707.58 and 2,540.64

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Solution

The fourth proportional to 7,807.02, 11,707.58 and 2,540.64 is: 3,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.02 : 11,707.58 = 2,540.64 : x
  2. Step 2: Convert to fraction form
    7,807.02/11,707.58 = 2,540.64/x
  3. Step 3: Cross multiply
    7,807.02x = 11,707.58 × 2,540.64
  4. Step 4: Simplify right side
    7,807.02x = 29,744,746.05
  5. Step 5: Solve for x
    x = 29,744,746.05/7,807.02
  6. Step 6: Final answer
    x = 3,810.00

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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.