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Finding the Fourth Proportional to 5,162.57, 7,746.94 and 1,875.93

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Solution

The fourth proportional to 5,162.57, 7,746.94 and 1,875.93 is: 2,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.57 : 7,746.94 = 1,875.93 : x
  2. Step 2: Convert to fraction form
    5,162.57/7,746.94 = 1,875.93/x
  3. Step 3: Cross multiply
    5,162.57x = 7,746.94 × 1,875.93
  4. Step 4: Simplify right side
    5,162.57x = 14,532,690.45
  5. Step 5: Solve for x
    x = 14,532,690.45/5,162.57
  6. Step 6: Final answer
    x = 2,815.01

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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.