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Finding the Fourth Proportional to 7,737.89, 10,678.50 and 4,551.41

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Solution

The fourth proportional to 7,737.89, 10,678.50 and 4,551.41 is: 6,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.89 : 10,678.50 = 4,551.41 : x
  2. Step 2: Convert to fraction form
    7,737.89/10,678.50 = 4,551.41/x
  3. Step 3: Cross multiply
    7,737.89x = 10,678.50 × 4,551.41
  4. Step 4: Simplify right side
    7,737.89x = 48,602,258.38
  5. Step 5: Solve for x
    x = 48,602,258.38/7,737.89
  6. Step 6: Final answer
    x = 6,281.08

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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.