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Finding the Fourth Proportional to 5,261.76, 7,894.13 and 1,564.13

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Solution

The fourth proportional to 5,261.76, 7,894.13 and 1,564.13 is: 2,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.76 : 7,894.13 = 1,564.13 : x
  2. Step 2: Convert to fraction form
    5,261.76/7,894.13 = 1,564.13/x
  3. Step 3: Cross multiply
    5,261.76x = 7,894.13 × 1,564.13
  4. Step 4: Simplify right side
    5,261.76x = 12,347,457.47
  5. Step 5: Solve for x
    x = 12,347,457.47/5,261.76
  6. Step 6: Final answer
    x = 2,346.64

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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.