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Finding the Fourth Proportional to 10,037.53, 15,050.81 and 7,970.81

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Solution

The fourth proportional to 10,037.53, 15,050.81 and 7,970.81 is: 11,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.53 : 15,050.81 = 7,970.81 : x
  2. Step 2: Convert to fraction form
    10,037.53/15,050.81 = 7,970.81/x
  3. Step 3: Cross multiply
    10,037.53x = 15,050.81 × 7,970.81
  4. Step 4: Simplify right side
    10,037.53x = 119,967,146.86
  5. Step 5: Solve for x
    x = 119,967,146.86/10,037.53
  6. Step 6: Final answer
    x = 11,951.86

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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.