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Finding the Fourth Proportional to 35,314.47, 52,971.62 and 9,019.22

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Solution

The fourth proportional to 35,314.47, 52,971.62 and 9,019.22 is: 13,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314.47 : 52,971.62 = 9,019.22 : x
  2. Step 2: Convert to fraction form
    35,314.47/52,971.62 = 9,019.22/x
  3. Step 3: Cross multiply
    35,314.47x = 52,971.62 × 9,019.22
  4. Step 4: Simplify right side
    35,314.47x = 477,762,384.58
  5. Step 5: Solve for x
    x = 477,762,384.58/35,314.47
  6. Step 6: Final answer
    x = 13,528.80

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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.