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Finding the Fourth Proportional to 5,124.51, 7,674.84 and 4,946.93

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Solution

The fourth proportional to 5,124.51, 7,674.84 and 4,946.93 is: 7,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.51 : 7,674.84 = 4,946.93 : x
  2. Step 2: Convert to fraction form
    5,124.51/7,674.84 = 4,946.93/x
  3. Step 3: Cross multiply
    5,124.51x = 7,674.84 × 4,946.93
  4. Step 4: Simplify right side
    5,124.51x = 37,966,943.57
  5. Step 5: Solve for x
    x = 37,966,943.57/5,124.51
  6. Step 6: Final answer
    x = 7,408.89

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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.