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Finding the Fourth Proportional to 5,503.96, 7,602.06 and 4,009.48

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Solution

The fourth proportional to 5,503.96, 7,602.06 and 4,009.48 is: 5,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.96 : 7,602.06 = 4,009.48 : x
  2. Step 2: Convert to fraction form
    5,503.96/7,602.06 = 4,009.48/x
  3. Step 3: Cross multiply
    5,503.96x = 7,602.06 × 4,009.48
  4. Step 4: Simplify right side
    5,503.96x = 30,480,307.53
  5. Step 5: Solve for x
    x = 30,480,307.53/5,503.96
  6. Step 6: Final answer
    x = 5,537.89

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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.