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Finding the Fourth Proportional to 4,654.74, 6,409.53 and 4,024.11

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Solution

The fourth proportional to 4,654.74, 6,409.53 and 4,024.11 is: 5,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.74 : 6,409.53 = 4,024.11 : x
  2. Step 2: Convert to fraction form
    4,654.74/6,409.53 = 4,024.11/x
  3. Step 3: Cross multiply
    4,654.74x = 6,409.53 × 4,024.11
  4. Step 4: Simplify right side
    4,654.74x = 25,792,653.77
  5. Step 5: Solve for x
    x = 25,792,653.77/4,654.74
  6. Step 6: Final answer
    x = 5,541.16

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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.