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Finding the Fourth Proportional to 6,592.64, 9,097.90 and 4,074.18

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Solution

The fourth proportional to 6,592.64, 9,097.90 and 4,074.18 is: 5,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.64 : 9,097.90 = 4,074.18 : x
  2. Step 2: Convert to fraction form
    6,592.64/9,097.90 = 4,074.18/x
  3. Step 3: Cross multiply
    6,592.64x = 9,097.90 × 4,074.18
  4. Step 4: Simplify right side
    6,592.64x = 37,066,482.22
  5. Step 5: Solve for x
    x = 37,066,482.22/6,592.64
  6. Step 6: Final answer
    x = 5,622.40

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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.