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Finding the Fourth Proportional to 7,695.90, 10,664.94 and 7,548.24

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Solution

The fourth proportional to 7,695.90, 10,664.94 and 7,548.24 is: 10,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.90 : 10,664.94 = 7,548.24 : x
  2. Step 2: Convert to fraction form
    7,695.90/10,664.94 = 7,548.24/x
  3. Step 3: Cross multiply
    7,695.90x = 10,664.94 × 7,548.24
  4. Step 4: Simplify right side
    7,695.90x = 80,501,526.71
  5. Step 5: Solve for x
    x = 80,501,526.71/7,695.90
  6. Step 6: Final answer
    x = 10,460.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.