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Finding the Fourth Proportional to 15,586.77, 21,502.89 and 9,295.50

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Solution

The fourth proportional to 15,586.77, 21,502.89 and 9,295.50 is: 12,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.77 : 21,502.89 = 9,295.50 : x
  2. Step 2: Convert to fraction form
    15,586.77/21,502.89 = 9,295.50/x
  3. Step 3: Cross multiply
    15,586.77x = 21,502.89 × 9,295.50
  4. Step 4: Simplify right side
    15,586.77x = 199,880,114.00
  5. Step 5: Solve for x
    x = 199,880,114.00/15,586.77
  6. Step 6: Final answer
    x = 12,823.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.