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Finding the Fourth Proportional to 9,296.02, 12,828.11 and 5,046.91

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Solution

The fourth proportional to 9,296.02, 12,828.11 and 5,046.91 is: 6,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.02 : 12,828.11 = 5,046.91 : x
  2. Step 2: Convert to fraction form
    9,296.02/12,828.11 = 5,046.91/x
  3. Step 3: Cross multiply
    9,296.02x = 12,828.11 × 5,046.91
  4. Step 4: Simplify right side
    9,296.02x = 64,742,259.34
  5. Step 5: Solve for x
    x = 64,742,259.34/9,296.02
  6. Step 6: Final answer
    x = 6,964.52

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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.