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Finding the Fourth Proportional to 9,347, 12,898.86 and 5,155.26

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Solution

The fourth proportional to 9,347, 12,898.86 and 5,155.26 is: 7,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347 : 12,898.86 = 5,155.26 : x
  2. Step 2: Convert to fraction form
    9,347/12,898.86 = 5,155.26/x
  3. Step 3: Cross multiply
    9,347x = 12,898.86 × 5,155.26
  4. Step 4: Simplify right side
    9,347x = 66,496,977.00
  5. Step 5: Solve for x
    x = 66,496,977.00/9,347
  6. Step 6: Final answer
    x = 7,114.26

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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.