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Finding the Fourth Proportional to 8,565, 11,820.96 and 5,030.16

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Solution

The fourth proportional to 8,565, 11,820.96 and 5,030.16 is: 6,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565 : 11,820.96 = 5,030.16 : x
  2. Step 2: Convert to fraction form
    8,565/11,820.96 = 5,030.16/x
  3. Step 3: Cross multiply
    8,565x = 11,820.96 × 5,030.16
  4. Step 4: Simplify right side
    8,565x = 59,461,320.15
  5. Step 5: Solve for x
    x = 59,461,320.15/8,565
  6. Step 6: Final answer
    x = 6,942.36

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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.