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Finding the Fourth Proportional to 8,367.69, 11,547.53 and 4,591.20

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Solution

The fourth proportional to 8,367.69, 11,547.53 and 4,591.20 is: 6,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.69 : 11,547.53 = 4,591.20 : x
  2. Step 2: Convert to fraction form
    8,367.69/11,547.53 = 4,591.20/x
  3. Step 3: Cross multiply
    8,367.69x = 11,547.53 × 4,591.20
  4. Step 4: Simplify right side
    8,367.69x = 53,017,019.74
  5. Step 5: Solve for x
    x = 53,017,019.74/8,367.69
  6. Step 6: Final answer
    x = 6,335.92

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Half scale
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Double scale
Find fourth proportional to 8,368.69, 11,548.91 and 4,592.20
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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.