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Finding the Fourth Proportional to 7,152.54, 9,875.08 and 5,829.42

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Solution

The fourth proportional to 7,152.54, 9,875.08 and 5,829.42 is: 8,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.54 : 9,875.08 = 5,829.42 : x
  2. Step 2: Convert to fraction form
    7,152.54/9,875.08 = 5,829.42/x
  3. Step 3: Cross multiply
    7,152.54x = 9,875.08 × 5,829.42
  4. Step 4: Simplify right side
    7,152.54x = 57,565,988.85
  5. Step 5: Solve for x
    x = 57,565,988.85/7,152.54
  6. Step 6: Final answer
    x = 8,048.33

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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.