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Finding the Fourth Proportional to 7,661.40, 10,572.46 and 4,682.22

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Solution

The fourth proportional to 7,661.40, 10,572.46 and 4,682.22 is: 6,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.40 : 10,572.46 = 4,682.22 : x
  2. Step 2: Convert to fraction form
    7,661.40/10,572.46 = 4,682.22/x
  3. Step 3: Cross multiply
    7,661.40x = 10,572.46 × 4,682.22
  4. Step 4: Simplify right side
    7,661.40x = 49,502,583.66
  5. Step 5: Solve for x
    x = 49,502,583.66/7,661.40
  6. Step 6: Final answer
    x = 6,461.30

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Find fourth proportional to 7,662.40, 10,573.84 and 4,683.22
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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.