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Finding the Fourth Proportional to 10,223.80, 15,303.30 and 7,307.80

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Solution

The fourth proportional to 10,223.80, 15,303.30 and 7,307.80 is: 10,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.80 : 15,303.30 = 7,307.80 : x
  2. Step 2: Convert to fraction form
    10,223.80/15,303.30 = 7,307.80/x
  3. Step 3: Cross multiply
    10,223.80x = 15,303.30 × 7,307.80
  4. Step 4: Simplify right side
    10,223.80x = 111,833,455.74
  5. Step 5: Solve for x
    x = 111,833,455.74/10,223.80
  6. Step 6: Final answer
    x = 10,938.54

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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.