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Finding the Fourth Proportional to 9,257.71, 12,775.62 and 5,008.76

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Solution

The fourth proportional to 9,257.71, 12,775.62 and 5,008.76 is: 6,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.71 : 12,775.62 = 5,008.76 : x
  2. Step 2: Convert to fraction form
    9,257.71/12,775.62 = 5,008.76/x
  3. Step 3: Cross multiply
    9,257.71x = 12,775.62 × 5,008.76
  4. Step 4: Simplify right side
    9,257.71x = 63,989,925.51
  5. Step 5: Solve for x
    x = 63,989,925.51/9,257.71
  6. Step 6: Final answer
    x = 6,912.07

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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.