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Finding the Fourth Proportional to 4,827.84, 7,188.80 and 4,775.68

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Solution

The fourth proportional to 4,827.84, 7,188.80 and 4,775.68 is: 7,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.84 : 7,188.80 = 4,775.68 : x
  2. Step 2: Convert to fraction form
    4,827.84/7,188.80 = 4,775.68/x
  3. Step 3: Cross multiply
    4,827.84x = 7,188.80 × 4,775.68
  4. Step 4: Simplify right side
    4,827.84x = 34,331,408.38
  5. Step 5: Solve for x
    x = 34,331,408.38/4,827.84
  6. Step 6: Final answer
    x = 7,111.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.