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Finding the Fourth Proportional to 7,655.16, 10,564.88 and 4,673

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Solution

The fourth proportional to 7,655.16, 10,564.88 and 4,673 is: 6,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.16 : 10,564.88 = 4,673 : x
  2. Step 2: Convert to fraction form
    7,655.16/10,564.88 = 4,673/x
  3. Step 3: Cross multiply
    7,655.16x = 10,564.88 × 4,673
  4. Step 4: Simplify right side
    7,655.16x = 49,369,684.24
  5. Step 5: Solve for x
    x = 49,369,684.24/7,655.16
  6. Step 6: Final answer
    x = 6,449.20

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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.