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Finding the Fourth Proportional to 35,980.71, 53,971.01 and 9,685.47

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Solution

The fourth proportional to 35,980.71, 53,971.01 and 9,685.47 is: 14,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.71 : 53,971.01 = 9,685.47 : x
  2. Step 2: Convert to fraction form
    35,980.71/53,971.01 = 9,685.47/x
  3. Step 3: Cross multiply
    35,980.71x = 53,971.01 × 9,685.47
  4. Step 4: Simplify right side
    35,980.71x = 522,734,788.51
  5. Step 5: Solve for x
    x = 522,734,788.51/35,980.71
  6. Step 6: Final answer
    x = 14,528.20

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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.