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Finding the Fourth Proportional to 9,126, 12,594.08 and 5,146.34

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Solution

The fourth proportional to 9,126, 12,594.08 and 5,146.34 is: 7,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126 : 12,594.08 = 5,146.34 : x
  2. Step 2: Convert to fraction form
    9,126/12,594.08 = 5,146.34/x
  3. Step 3: Cross multiply
    9,126x = 12,594.08 × 5,146.34
  4. Step 4: Simplify right side
    9,126x = 64,813,417.67
  5. Step 5: Solve for x
    x = 64,813,417.67/9,126
  6. Step 6: Final answer
    x = 7,102.06

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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.