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Finding the Fourth Proportional to 7,548.64, 10,416.64 and 4,191.46

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Solution

The fourth proportional to 7,548.64, 10,416.64 and 4,191.46 is: 5,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.64 : 10,416.64 = 4,191.46 : x
  2. Step 2: Convert to fraction form
    7,548.64/10,416.64 = 4,191.46/x
  3. Step 3: Cross multiply
    7,548.64x = 10,416.64 × 4,191.46
  4. Step 4: Simplify right side
    7,548.64x = 43,660,929.89
  5. Step 5: Solve for x
    x = 43,660,929.89/7,548.64
  6. Step 6: Final answer
    x = 5,783.95

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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.