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Finding the Fourth Proportional to 8,497.47, 12,756.75 and 4,802.67

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Solution

The fourth proportional to 8,497.47, 12,756.75 and 4,802.67 is: 7,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.47 : 12,756.75 = 4,802.67 : x
  2. Step 2: Convert to fraction form
    8,497.47/12,756.75 = 4,802.67/x
  3. Step 3: Cross multiply
    8,497.47x = 12,756.75 × 4,802.67
  4. Step 4: Simplify right side
    8,497.47x = 61,266,460.52
  5. Step 5: Solve for x
    x = 61,266,460.52/8,497.47
  6. Step 6: Final answer
    x = 7,209.96

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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.