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Finding the Fourth Proportional to 8,925.76, 12,316.90 and 4,946.50

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Solution

The fourth proportional to 8,925.76, 12,316.90 and 4,946.50 is: 6,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.76 : 12,316.90 = 4,946.50 : x
  2. Step 2: Convert to fraction form
    8,925.76/12,316.90 = 4,946.50/x
  3. Step 3: Cross multiply
    8,925.76x = 12,316.90 × 4,946.50
  4. Step 4: Simplify right side
    8,925.76x = 60,925,545.85
  5. Step 5: Solve for x
    x = 60,925,545.85/8,925.76
  6. Step 6: Final answer
    x = 6,825.81

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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.