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Finding the Fourth Proportional to 9,124.88, 12,594.16 and 5,146.07

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Solution

The fourth proportional to 9,124.88, 12,594.16 and 5,146.07 is: 7,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.88 : 12,594.16 = 5,146.07 : x
  2. Step 2: Convert to fraction form
    9,124.88/12,594.16 = 5,146.07/x
  3. Step 3: Cross multiply
    9,124.88x = 12,594.16 × 5,146.07
  4. Step 4: Simplify right side
    9,124.88x = 64,810,372.41
  5. Step 5: Solve for x
    x = 64,810,372.41/9,124.88
  6. Step 6: Final answer
    x = 7,102.60

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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.