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Finding the Fourth Proportional to 9,810.34, 14,715.51 and 8,071.94

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Solution

The fourth proportional to 9,810.34, 14,715.51 and 8,071.94 is: 12,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.34 : 14,715.51 = 8,071.94 : x
  2. Step 2: Convert to fraction form
    9,810.34/14,715.51 = 8,071.94/x
  3. Step 3: Cross multiply
    9,810.34x = 14,715.51 × 8,071.94
  4. Step 4: Simplify right side
    9,810.34x = 118,782,765.71
  5. Step 5: Solve for x
    x = 118,782,765.71/9,810.34
  6. Step 6: Final answer
    x = 12,107.91

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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.