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Finding the Fourth Proportional to 7,448.47, 10,278.10 and 4,464.22

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Solution

The fourth proportional to 7,448.47, 10,278.10 and 4,464.22 is: 6,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.47 : 10,278.10 = 4,464.22 : x
  2. Step 2: Convert to fraction form
    7,448.47/10,278.10 = 4,464.22/x
  3. Step 3: Cross multiply
    7,448.47x = 10,278.10 × 4,464.22
  4. Step 4: Simplify right side
    7,448.47x = 45,883,699.58
  5. Step 5: Solve for x
    x = 45,883,699.58/7,448.47
  6. Step 6: Final answer
    x = 6,160.15

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Half scale
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Double scale
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Similar ratio
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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.