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Finding the Fourth Proportional to 7,053.60, 9,733.29 and 4,220.40

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Solution

The fourth proportional to 7,053.60, 9,733.29 and 4,220.40 is: 5,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.60 : 9,733.29 = 4,220.40 : x
  2. Step 2: Convert to fraction form
    7,053.60/9,733.29 = 4,220.40/x
  3. Step 3: Cross multiply
    7,053.60x = 9,733.29 × 4,220.40
  4. Step 4: Simplify right side
    7,053.60x = 41,078,377.12
  5. Step 5: Solve for x
    x = 41,078,377.12/7,053.60
  6. Step 6: Final answer
    x = 5,823.75

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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.