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Finding the Fourth Proportional to 7,686.50, 10,607.37 and 4,374.50

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Solution

The fourth proportional to 7,686.50, 10,607.37 and 4,374.50 is: 6,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.50 : 10,607.37 = 4,374.50 : x
  2. Step 2: Convert to fraction form
    7,686.50/10,607.37 = 4,374.50/x
  3. Step 3: Cross multiply
    7,686.50x = 10,607.37 × 4,374.50
  4. Step 4: Simplify right side
    7,686.50x = 46,401,940.07
  5. Step 5: Solve for x
    x = 46,401,940.07/7,686.50
  6. Step 6: Final answer
    x = 6,036.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.