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Finding the Fourth Proportional to 7,841, 10,820.04 and 4,303.48

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Solution

The fourth proportional to 7,841, 10,820.04 and 4,303.48 is: 5,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841 : 10,820.04 = 4,303.48 : x
  2. Step 2: Convert to fraction form
    7,841/10,820.04 = 4,303.48/x
  3. Step 3: Cross multiply
    7,841x = 10,820.04 × 4,303.48
  4. Step 4: Simplify right side
    7,841x = 46,563,825.74
  5. Step 5: Solve for x
    x = 46,563,825.74/7,841
  6. Step 6: Final answer
    x = 5,938.51

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Double scale
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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.