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Finding the Fourth Proportional to 7,654.93, 11,477.00 and 2,971.04

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Solution

The fourth proportional to 7,654.93, 11,477.00 and 2,971.04 is: 4,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.93 : 11,477.00 = 2,971.04 : x
  2. Step 2: Convert to fraction form
    7,654.93/11,477.00 = 2,971.04/x
  3. Step 3: Cross multiply
    7,654.93x = 11,477.00 × 2,971.04
  4. Step 4: Simplify right side
    7,654.93x = 34,098,582.53
  5. Step 5: Solve for x
    x = 34,098,582.53/7,654.93
  6. Step 6: Final answer
    x = 4,454.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.