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Finding the Fourth Proportional to 9,133, 12,603.63 and 4,941.34

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Solution

The fourth proportional to 9,133, 12,603.63 and 4,941.34 is: 6,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133 : 12,603.63 = 4,941.34 : x
  2. Step 2: Convert to fraction form
    9,133/12,603.63 = 4,941.34/x
  3. Step 3: Cross multiply
    9,133x = 12,603.63 × 4,941.34
  4. Step 4: Simplify right side
    9,133x = 62,278,821.06
  5. Step 5: Solve for x
    x = 62,278,821.06/9,133
  6. Step 6: Final answer
    x = 6,819.10

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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.