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Finding the Fourth Proportional to 10,934.74, 15,088.98 and 6,458.68

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Solution

The fourth proportional to 10,934.74, 15,088.98 and 6,458.68 is: 8,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.74 : 15,088.98 = 6,458.68 : x
  2. Step 2: Convert to fraction form
    10,934.74/15,088.98 = 6,458.68/x
  3. Step 3: Cross multiply
    10,934.74x = 15,088.98 × 6,458.68
  4. Step 4: Simplify right side
    10,934.74x = 97,454,893.35
  5. Step 5: Solve for x
    x = 97,454,893.35/10,934.74
  6. Step 6: Final answer
    x = 8,912.41

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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.