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Finding the Fourth Proportional to 5,292.99, 7,943.14 and 1,830.24

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Solution

The fourth proportional to 5,292.99, 7,943.14 and 1,830.24 is: 2,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.99 : 7,943.14 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    5,292.99/7,943.14 = 1,830.24/x
  3. Step 3: Cross multiply
    5,292.99x = 7,943.14 × 1,830.24
  4. Step 4: Simplify right side
    5,292.99x = 14,537,852.55
  5. Step 5: Solve for x
    x = 14,537,852.55/5,292.99
  6. Step 6: Final answer
    x = 2,746.62

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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.