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Finding the Fourth Proportional to 7,206.40, 9,945.60 and 4,411.20

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Solution

The fourth proportional to 7,206.40, 9,945.60 and 4,411.20 is: 6,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.40 : 9,945.60 = 4,411.20 : x
  2. Step 2: Convert to fraction form
    7,206.40/9,945.60 = 4,411.20/x
  3. Step 3: Cross multiply
    7,206.40x = 9,945.60 × 4,411.20
  4. Step 4: Simplify right side
    7,206.40x = 43,872,030.72
  5. Step 5: Solve for x
    x = 43,872,030.72/7,206.40
  6. Step 6: Final answer
    x = 6,087.93

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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.