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Finding the Fourth Proportional to 7,411.54, 11,117.32 and 3,029

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Solution

The fourth proportional to 7,411.54, 11,117.32 and 3,029 is: 4,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.54 : 11,117.32 = 3,029 : x
  2. Step 2: Convert to fraction form
    7,411.54/11,117.32 = 3,029/x
  3. Step 3: Cross multiply
    7,411.54x = 11,117.32 × 3,029
  4. Step 4: Simplify right side
    7,411.54x = 33,674,362.28
  5. Step 5: Solve for x
    x = 33,674,362.28/7,411.54
  6. Step 6: Final answer
    x = 4,543.50

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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.