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Finding the Fourth Proportional to 27,800.04, 41,700.32 and 7,023.52

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Solution

The fourth proportional to 27,800.04, 41,700.32 and 7,023.52 is: 10,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.04 : 41,700.32 = 7,023.52 : x
  2. Step 2: Convert to fraction form
    27,800.04/41,700.32 = 7,023.52/x
  3. Step 3: Cross multiply
    27,800.04x = 41,700.32 × 7,023.52
  4. Step 4: Simplify right side
    27,800.04x = 292,883,031.53
  5. Step 5: Solve for x
    x = 292,883,031.53/27,800.04
  6. Step 6: Final answer
    x = 10,535.35

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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.