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Finding the Fourth Proportional to 9,178.63, 13,746.07 and 5,012.40

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Solution

The fourth proportional to 9,178.63, 13,746.07 and 5,012.40 is: 7,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.63 : 13,746.07 = 5,012.40 : x
  2. Step 2: Convert to fraction form
    9,178.63/13,746.07 = 5,012.40/x
  3. Step 3: Cross multiply
    9,178.63x = 13,746.07 × 5,012.40
  4. Step 4: Simplify right side
    9,178.63x = 68,900,801.27
  5. Step 5: Solve for x
    x = 68,900,801.27/9,178.63
  6. Step 6: Final answer
    x = 7,506.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.