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Finding the Fourth Proportional to 7,607.69, 10,497.87 and 4,420.16

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Solution

The fourth proportional to 7,607.69, 10,497.87 and 4,420.16 is: 6,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.69 : 10,497.87 = 4,420.16 : x
  2. Step 2: Convert to fraction form
    7,607.69/10,497.87 = 4,420.16/x
  3. Step 3: Cross multiply
    7,607.69x = 10,497.87 × 4,420.16
  4. Step 4: Simplify right side
    7,607.69x = 46,402,265.06
  5. Step 5: Solve for x
    x = 46,402,265.06/7,607.69
  6. Step 6: Final answer
    x = 6,099.39

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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.