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Finding the Fourth Proportional to 6,227.50, 9,341.10 and 1,547.52

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Solution

The fourth proportional to 6,227.50, 9,341.10 and 1,547.52 is: 2,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.50 : 9,341.10 = 1,547.52 : x
  2. Step 2: Convert to fraction form
    6,227.50/9,341.10 = 1,547.52/x
  3. Step 3: Cross multiply
    6,227.50x = 9,341.10 × 1,547.52
  4. Step 4: Simplify right side
    6,227.50x = 14,455,539.07
  5. Step 5: Solve for x
    x = 14,455,539.07/6,227.50
  6. Step 6: Final answer
    x = 2,321.24

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.