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Finding the Fourth Proportional to 10,701.70, 14,770.65 and 6,511.30

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Solution

The fourth proportional to 10,701.70, 14,770.65 and 6,511.30 is: 8,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.70 : 14,770.65 = 6,511.30 : x
  2. Step 2: Convert to fraction form
    10,701.70/14,770.65 = 6,511.30/x
  3. Step 3: Cross multiply
    10,701.70x = 14,770.65 × 6,511.30
  4. Step 4: Simplify right side
    10,701.70x = 96,176,133.35
  5. Step 5: Solve for x
    x = 96,176,133.35/10,701.70
  6. Step 6: Final answer
    x = 8,987.00

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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.