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Finding the Fourth Proportional to 7,737.57, 11,587.71 and 4,955.63

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Solution

The fourth proportional to 7,737.57, 11,587.71 and 4,955.63 is: 7,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.57 : 11,587.71 = 4,955.63 : x
  2. Step 2: Convert to fraction form
    7,737.57/11,587.71 = 4,955.63/x
  3. Step 3: Cross multiply
    7,737.57x = 11,587.71 × 4,955.63
  4. Step 4: Simplify right side
    7,737.57x = 57,424,345.37
  5. Step 5: Solve for x
    x = 57,424,345.37/7,737.57
  6. Step 6: Final answer
    x = 7,421.50

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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.