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Finding the Fourth Proportional to 7,718.52, 10,655.64 and 5,946.24

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Solution

The fourth proportional to 7,718.52, 10,655.64 and 5,946.24 is: 8,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.52 : 10,655.64 = 5,946.24 : x
  2. Step 2: Convert to fraction form
    7,718.52/10,655.64 = 5,946.24/x
  3. Step 3: Cross multiply
    7,718.52x = 10,655.64 × 5,946.24
  4. Step 4: Simplify right side
    7,718.52x = 63,360,992.79
  5. Step 5: Solve for x
    x = 63,360,992.79/7,718.52
  6. Step 6: Final answer
    x = 8,208.96

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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.