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Finding the Fourth Proportional to 10,361.69, 15,547.13 and 5,430.16

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Solution

The fourth proportional to 10,361.69, 15,547.13 and 5,430.16 is: 8,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.69 : 15,547.13 = 5,430.16 : x
  2. Step 2: Convert to fraction form
    10,361.69/15,547.13 = 5,430.16/x
  3. Step 3: Cross multiply
    10,361.69x = 15,547.13 × 5,430.16
  4. Step 4: Simplify right side
    10,361.69x = 84,423,403.44
  5. Step 5: Solve for x
    x = 84,423,403.44/10,361.69
  6. Step 6: Final answer
    x = 8,147.65

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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.