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Finding the Fourth Proportional to 7,582.19, 11,360.86 and 7,294.19

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Solution

The fourth proportional to 7,582.19, 11,360.86 and 7,294.19 is: 10,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.19 : 11,360.86 = 7,294.19 : x
  2. Step 2: Convert to fraction form
    7,582.19/11,360.86 = 7,294.19/x
  3. Step 3: Cross multiply
    7,582.19x = 11,360.86 × 7,294.19
  4. Step 4: Simplify right side
    7,582.19x = 82,868,196.36
  5. Step 5: Solve for x
    x = 82,868,196.36/7,582.19
  6. Step 6: Final answer
    x = 10,929.33

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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.