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Finding the Fourth Proportional to 10,581.76, 14,599.06 and 6,106.65

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Solution

The fourth proportional to 10,581.76, 14,599.06 and 6,106.65 is: 8,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.76 : 14,599.06 = 6,106.65 : x
  2. Step 2: Convert to fraction form
    10,581.76/14,599.06 = 6,106.65/x
  3. Step 3: Cross multiply
    10,581.76x = 14,599.06 × 6,106.65
  4. Step 4: Simplify right side
    10,581.76x = 89,151,349.75
  5. Step 5: Solve for x
    x = 89,151,349.75/10,581.76
  6. Step 6: Final answer
    x = 8,425.00

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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.