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Finding the Fourth Proportional to 9,703.56, 13,391.46 and 7,341.60

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Solution

The fourth proportional to 9,703.56, 13,391.46 and 7,341.60 is: 10,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.56 : 13,391.46 = 7,341.60 : x
  2. Step 2: Convert to fraction form
    9,703.56/13,391.46 = 7,341.60/x
  3. Step 3: Cross multiply
    9,703.56x = 13,391.46 × 7,341.60
  4. Step 4: Simplify right side
    9,703.56x = 98,314,742.74
  5. Step 5: Solve for x
    x = 98,314,742.74/9,703.56
  6. Step 6: Final answer
    x = 10,131.82

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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.