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Finding the Fourth Proportional to 9,602.32, 13,252.16 and 5,354.08

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Solution

The fourth proportional to 9,602.32, 13,252.16 and 5,354.08 is: 7,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.32 : 13,252.16 = 5,354.08 : x
  2. Step 2: Convert to fraction form
    9,602.32/13,252.16 = 5,354.08/x
  3. Step 3: Cross multiply
    9,602.32x = 13,252.16 × 5,354.08
  4. Step 4: Simplify right side
    9,602.32x = 70,953,124.81
  5. Step 5: Solve for x
    x = 70,953,124.81/9,602.32
  6. Step 6: Final answer
    x = 7,389.16

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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.