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Finding the Fourth Proportional to 6,530.70, 9,006.24 and 5,036.25

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Solution

The fourth proportional to 6,530.70, 9,006.24 and 5,036.25 is: 6,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.70 : 9,006.24 = 5,036.25 : x
  2. Step 2: Convert to fraction form
    6,530.70/9,006.24 = 5,036.25/x
  3. Step 3: Cross multiply
    6,530.70x = 9,006.24 × 5,036.25
  4. Step 4: Simplify right side
    6,530.70x = 45,357,676.20
  5. Step 5: Solve for x
    x = 45,357,676.20/6,530.70
  6. Step 6: Final answer
    x = 6,945.30

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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.