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Finding the Fourth Proportional to 12,833.34, 17,710.14 and 7,528.24

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Solution

The fourth proportional to 12,833.34, 17,710.14 and 7,528.24 is: 10,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.34 : 17,710.14 = 7,528.24 : x
  2. Step 2: Convert to fraction form
    12,833.34/17,710.14 = 7,528.24/x
  3. Step 3: Cross multiply
    12,833.34x = 17,710.14 × 7,528.24
  4. Step 4: Simplify right side
    12,833.34x = 133,326,146.71
  5. Step 5: Solve for x
    x = 133,326,146.71/12,833.34
  6. Step 6: Final answer
    x = 10,389.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.