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Finding the Fourth Proportional to 7,681.42, 10,599.42 and 5,324.32

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Solution

The fourth proportional to 7,681.42, 10,599.42 and 5,324.32 is: 7,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.42 : 10,599.42 = 5,324.32 : x
  2. Step 2: Convert to fraction form
    7,681.42/10,599.42 = 5,324.32/x
  3. Step 3: Cross multiply
    7,681.42x = 10,599.42 × 5,324.32
  4. Step 4: Simplify right side
    7,681.42x = 56,434,703.89
  5. Step 5: Solve for x
    x = 56,434,703.89/7,681.42
  6. Step 6: Final answer
    x = 7,346.91

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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.