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Finding the Fourth Proportional to 6,841.42, 9,442.94 and 4,457.93

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Solution

The fourth proportional to 6,841.42, 9,442.94 and 4,457.93 is: 6,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.42 : 9,442.94 = 4,457.93 : x
  2. Step 2: Convert to fraction form
    6,841.42/9,442.94 = 4,457.93/x
  3. Step 3: Cross multiply
    6,841.42x = 9,442.94 × 4,457.93
  4. Step 4: Simplify right side
    6,841.42x = 42,095,896.01
  5. Step 5: Solve for x
    x = 42,095,896.01/6,841.42
  6. Step 6: Final answer
    x = 6,153.10

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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.