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Finding the Fourth Proportional to 7,636.19, 10,537.88 and 7,009.25

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Solution

The fourth proportional to 7,636.19, 10,537.88 and 7,009.25 is: 9,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.19 : 10,537.88 = 7,009.25 : x
  2. Step 2: Convert to fraction form
    7,636.19/10,537.88 = 7,009.25/x
  3. Step 3: Cross multiply
    7,636.19x = 10,537.88 × 7,009.25
  4. Step 4: Simplify right side
    7,636.19x = 73,862,547.65
  5. Step 5: Solve for x
    x = 73,862,547.65/7,636.19
  6. Step 6: Final answer
    x = 9,672.70

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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.