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Finding the Fourth Proportional to 6,701.72, 9,259.88 and 6,465.20

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Solution

The fourth proportional to 6,701.72, 9,259.88 and 6,465.20 is: 8,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.72 : 9,259.88 = 6,465.20 : x
  2. Step 2: Convert to fraction form
    6,701.72/9,259.88 = 6,465.20/x
  3. Step 3: Cross multiply
    6,701.72x = 9,259.88 × 6,465.20
  4. Step 4: Simplify right side
    6,701.72x = 59,866,897.55
  5. Step 5: Solve for x
    x = 59,866,897.55/6,701.72
  6. Step 6: Final answer
    x = 8,933.07

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Half scale
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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.