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Finding the Fourth Proportional to 9,566.47, 13,207.95 and 5,842.63

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Solution

The fourth proportional to 9,566.47, 13,207.95 and 5,842.63 is: 8,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.47 : 13,207.95 = 5,842.63 : x
  2. Step 2: Convert to fraction form
    9,566.47/13,207.95 = 5,842.63/x
  3. Step 3: Cross multiply
    9,566.47x = 13,207.95 × 5,842.63
  4. Step 4: Simplify right side
    9,566.47x = 77,169,069.66
  5. Step 5: Solve for x
    x = 77,169,069.66/9,566.47
  6. Step 6: Final answer
    x = 8,066.62

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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.