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Finding the Fourth Proportional to 35,784.59, 53,678.10 and 9,491.99

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Solution

The fourth proportional to 35,784.59, 53,678.10 and 9,491.99 is: 14,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.59 : 53,678.10 = 9,491.99 : x
  2. Step 2: Convert to fraction form
    35,784.59/53,678.10 = 9,491.99/x
  3. Step 3: Cross multiply
    35,784.59x = 53,678.10 × 9,491.99
  4. Step 4: Simplify right side
    35,784.59x = 509,511,988.42
  5. Step 5: Solve for x
    x = 509,511,988.42/35,784.59
  6. Step 6: Final answer
    x = 14,238.31

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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.