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Finding the Fourth Proportional to 9,140.16, 12,613.41 and 4,948.41

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Solution

The fourth proportional to 9,140.16, 12,613.41 and 4,948.41 is: 6,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.16 : 12,613.41 = 4,948.41 : x
  2. Step 2: Convert to fraction form
    9,140.16/12,613.41 = 4,948.41/x
  3. Step 3: Cross multiply
    9,140.16x = 12,613.41 × 4,948.41
  4. Step 4: Simplify right side
    9,140.16x = 62,416,324.18
  5. Step 5: Solve for x
    x = 62,416,324.18/9,140.16
  6. Step 6: Final answer
    x = 6,828.80

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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.