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Finding the Fourth Proportional to 10,502.98, 15,754.47 and 9,861.46

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Solution

The fourth proportional to 10,502.98, 15,754.47 and 9,861.46 is: 14,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.98 : 15,754.47 = 9,861.46 : x
  2. Step 2: Convert to fraction form
    10,502.98/15,754.47 = 9,861.46/x
  3. Step 3: Cross multiply
    10,502.98x = 15,754.47 × 9,861.46
  4. Step 4: Simplify right side
    10,502.98x = 155,362,075.73
  5. Step 5: Solve for x
    x = 155,362,075.73/10,502.98
  6. Step 6: Final answer
    x = 14,792.19

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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.