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Finding the Fourth Proportional to 7,068.86, 10,591.14 and 4,869.74

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Solution

The fourth proportional to 7,068.86, 10,591.14 and 4,869.74 is: 7,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.86 : 10,591.14 = 4,869.74 : x
  2. Step 2: Convert to fraction form
    7,068.86/10,591.14 = 4,869.74/x
  3. Step 3: Cross multiply
    7,068.86x = 10,591.14 × 4,869.74
  4. Step 4: Simplify right side
    7,068.86x = 51,576,098.10
  5. Step 5: Solve for x
    x = 51,576,098.10/7,068.86
  6. Step 6: Final answer
    x = 7,296.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.