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Finding the Fourth Proportional to 8,352, 11,525.28 and 4,575.16

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Solution

The fourth proportional to 8,352, 11,525.28 and 4,575.16 is: 6,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 11,525.28 = 4,575.16 : x
  2. Step 2: Convert to fraction form
    8,352/11,525.28 = 4,575.16/x
  3. Step 3: Cross multiply
    8,352x = 11,525.28 × 4,575.16
  4. Step 4: Simplify right side
    8,352x = 52,730,000.04
  5. Step 5: Solve for x
    x = 52,730,000.04/8,352
  6. Step 6: Final answer
    x = 6,313.46

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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.