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Finding the Fourth Proportional to 7,607.66, 10,511.98 and 5,854.41

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Solution

The fourth proportional to 7,607.66, 10,511.98 and 5,854.41 is: 8,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.66 : 10,511.98 = 5,854.41 : x
  2. Step 2: Convert to fraction form
    7,607.66/10,511.98 = 5,854.41/x
  3. Step 3: Cross multiply
    7,607.66x = 10,511.98 × 5,854.41
  4. Step 4: Simplify right side
    7,607.66x = 61,541,426.20
  5. Step 5: Solve for x
    x = 61,541,426.20/7,607.66
  6. Step 6: Final answer
    x = 8,089.41

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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.