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Finding the Fourth Proportional to 10,656.00, 14,706.08 and 6,179.71

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Solution

The fourth proportional to 10,656.00, 14,706.08 and 6,179.71 is: 8,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.00 : 14,706.08 = 6,179.71 : x
  2. Step 2: Convert to fraction form
    10,656.00/14,706.08 = 6,179.71/x
  3. Step 3: Cross multiply
    10,656.00x = 14,706.08 × 6,179.71
  4. Step 4: Simplify right side
    10,656.00x = 90,879,278.74
  5. Step 5: Solve for x
    x = 90,879,278.74/10,656.00
  6. Step 6: Final answer
    x = 8,528.46

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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.