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Finding the Fourth Proportional to 5,281.60, 7,307.04 and 5,166.40

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Solution

The fourth proportional to 5,281.60, 7,307.04 and 5,166.40 is: 7,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.60 : 7,307.04 = 5,166.40 : x
  2. Step 2: Convert to fraction form
    5,281.60/7,307.04 = 5,166.40/x
  3. Step 3: Cross multiply
    5,281.60x = 7,307.04 × 5,166.40
  4. Step 4: Simplify right side
    5,281.60x = 37,751,091.46
  5. Step 5: Solve for x
    x = 37,751,091.46/5,281.60
  6. Step 6: Final answer
    x = 7,147.66

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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.