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Finding the Fourth Proportional to 7,746.79, 10,691.48 and 4,602.98

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Solution

The fourth proportional to 7,746.79, 10,691.48 and 4,602.98 is: 6,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.79 : 10,691.48 = 4,602.98 : x
  2. Step 2: Convert to fraction form
    7,746.79/10,691.48 = 4,602.98/x
  3. Step 3: Cross multiply
    7,746.79x = 10,691.48 × 4,602.98
  4. Step 4: Simplify right side
    7,746.79x = 49,212,668.61
  5. Step 5: Solve for x
    x = 49,212,668.61/7,746.79
  6. Step 6: Final answer
    x = 6,352.65

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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.