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Finding the Fourth Proportional to 7,306.80, 10,904.16 and 5,654.40

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Solution

The fourth proportional to 7,306.80, 10,904.16 and 5,654.40 is: 8,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.80 : 10,904.16 = 5,654.40 : x
  2. Step 2: Convert to fraction form
    7,306.80/10,904.16 = 5,654.40/x
  3. Step 3: Cross multiply
    7,306.80x = 10,904.16 × 5,654.40
  4. Step 4: Simplify right side
    7,306.80x = 61,656,482.30
  5. Step 5: Solve for x
    x = 61,656,482.30/7,306.80
  6. Step 6: Final answer
    x = 8,438.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.