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Finding the Fourth Proportional to 7,547.54, 10,411.98 and 5,310.64

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Solution

The fourth proportional to 7,547.54, 10,411.98 and 5,310.64 is: 7,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.54 : 10,411.98 = 5,310.64 : x
  2. Step 2: Convert to fraction form
    7,547.54/10,411.98 = 5,310.64/x
  3. Step 3: Cross multiply
    7,547.54x = 10,411.98 × 5,310.64
  4. Step 4: Simplify right side
    7,547.54x = 55,294,270.57
  5. Step 5: Solve for x
    x = 55,294,270.57/7,547.54
  6. Step 6: Final answer
    x = 7,326.14

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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.