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Finding the Fourth Proportional to 7,703.60, 11,526.60 and 5,111.60

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Solution

The fourth proportional to 7,703.60, 11,526.60 and 5,111.60 is: 7,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.60 : 11,526.60 = 5,111.60 : x
  2. Step 2: Convert to fraction form
    7,703.60/11,526.60 = 5,111.60/x
  3. Step 3: Cross multiply
    7,703.60x = 11,526.60 × 5,111.60
  4. Step 4: Simplify right side
    7,703.60x = 58,919,368.56
  5. Step 5: Solve for x
    x = 58,919,368.56/7,703.60
  6. Step 6: Final answer
    x = 7,648.29

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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.