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Finding the Fourth Proportional to 9,842.18, 14,687.06 and 9,522.63

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Solution

The fourth proportional to 9,842.18, 14,687.06 and 9,522.63 is: 14,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.18 : 14,687.06 = 9,522.63 : x
  2. Step 2: Convert to fraction form
    9,842.18/14,687.06 = 9,522.63/x
  3. Step 3: Cross multiply
    9,842.18x = 14,687.06 × 9,522.63
  4. Step 4: Simplify right side
    9,842.18x = 139,859,390.55
  5. Step 5: Solve for x
    x = 139,859,390.55/9,842.18
  6. Step 6: Final answer
    x = 14,210.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.