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Finding the Fourth Proportional to 5,169, 7,037.78 and 5,152.58

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Solution

The fourth proportional to 5,169, 7,037.78 and 5,152.58 is: 7,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169 : 7,037.78 = 5,152.58 : x
  2. Step 2: Convert to fraction form
    5,169/7,037.78 = 5,152.58/x
  3. Step 3: Cross multiply
    5,169x = 7,037.78 × 5,152.58
  4. Step 4: Simplify right side
    5,169x = 36,262,724.47
  5. Step 5: Solve for x
    x = 36,262,724.47/5,169
  6. Step 6: Final answer
    x = 7,015.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.