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Finding the Fourth Proportional to 8,580.04, 11,842.14 and 5,434

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Solution

The fourth proportional to 8,580.04, 11,842.14 and 5,434 is: 7,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.04 : 11,842.14 = 5,434 : x
  2. Step 2: Convert to fraction form
    8,580.04/11,842.14 = 5,434/x
  3. Step 3: Cross multiply
    8,580.04x = 11,842.14 × 5,434
  4. Step 4: Simplify right side
    8,580.04x = 64,350,188.76
  5. Step 5: Solve for x
    x = 64,350,188.76/8,580.04
  6. Step 6: Final answer
    x = 7,499.99

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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.