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Finding the Fourth Proportional to 9,538.08, 14,304.06 and 8,916.16

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Solution

The fourth proportional to 9,538.08, 14,304.06 and 8,916.16 is: 13,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.08 : 14,304.06 = 8,916.16 : x
  2. Step 2: Convert to fraction form
    9,538.08/14,304.06 = 8,916.16/x
  3. Step 3: Cross multiply
    9,538.08x = 14,304.06 × 8,916.16
  4. Step 4: Simplify right side
    9,538.08x = 127,537,287.61
  5. Step 5: Solve for x
    x = 127,537,287.61/9,538.08
  6. Step 6: Final answer
    x = 13,371.38

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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.