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Finding the Fourth Proportional to 5,207.51, 7,810.46 and 1,697.51

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Solution

The fourth proportional to 5,207.51, 7,810.46 and 1,697.51 is: 2,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.51 : 7,810.46 = 1,697.51 : x
  2. Step 2: Convert to fraction form
    5,207.51/7,810.46 = 1,697.51/x
  3. Step 3: Cross multiply
    5,207.51x = 7,810.46 × 1,697.51
  4. Step 4: Simplify right side
    5,207.51x = 13,258,294.90
  5. Step 5: Solve for x
    x = 13,258,294.90/5,207.51
  6. Step 6: Final answer
    x = 2,546.00

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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.