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Finding the Fourth Proportional to 9,970.98, 14,916.15 and 8,330.82

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Solution

The fourth proportional to 9,970.98, 14,916.15 and 8,330.82 is: 12,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.98 : 14,916.15 = 8,330.82 : x
  2. Step 2: Convert to fraction form
    9,970.98/14,916.15 = 8,330.82/x
  3. Step 3: Cross multiply
    9,970.98x = 14,916.15 × 8,330.82
  4. Step 4: Simplify right side
    9,970.98x = 124,263,760.74
  5. Step 5: Solve for x
    x = 124,263,760.74/9,970.98
  6. Step 6: Final answer
    x = 12,462.54

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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.