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Finding the Fourth Proportional to 6,374.77, 9,527.98 and 5,748.64

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Solution

The fourth proportional to 6,374.77, 9,527.98 and 5,748.64 is: 8,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.77 : 9,527.98 = 5,748.64 : x
  2. Step 2: Convert to fraction form
    6,374.77/9,527.98 = 5,748.64/x
  3. Step 3: Cross multiply
    6,374.77x = 9,527.98 × 5,748.64
  4. Step 4: Simplify right side
    6,374.77x = 54,772,926.95
  5. Step 5: Solve for x
    x = 54,772,926.95/6,374.77
  6. Step 6: Final answer
    x = 8,592.14

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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.