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Finding the Fourth Proportional to 35,466.90, 53,200.35 and 10,510.80

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Solution

The fourth proportional to 35,466.90, 53,200.35 and 10,510.80 is: 15,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466.90 : 53,200.35 = 10,510.80 : x
  2. Step 2: Convert to fraction form
    35,466.90/53,200.35 = 10,510.80/x
  3. Step 3: Cross multiply
    35,466.90x = 53,200.35 × 10,510.80
  4. Step 4: Simplify right side
    35,466.90x = 559,178,238.78
  5. Step 5: Solve for x
    x = 559,178,238.78/35,466.90
  6. Step 6: Final answer
    x = 15,766.20

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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.