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Finding the Fourth Proportional to 7,848.03, 10,830.21 and 4,262.91

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Solution

The fourth proportional to 7,848.03, 10,830.21 and 4,262.91 is: 5,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.03 : 10,830.21 = 4,262.91 : x
  2. Step 2: Convert to fraction form
    7,848.03/10,830.21 = 4,262.91/x
  3. Step 3: Cross multiply
    7,848.03x = 10,830.21 × 4,262.91
  4. Step 4: Simplify right side
    7,848.03x = 46,168,210.51
  5. Step 5: Solve for x
    x = 46,168,210.51/7,848.03
  6. Step 6: Final answer
    x = 5,882.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.