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Finding the Fourth Proportional to 9,332.84, 12,875.16 and 6,307

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Solution

The fourth proportional to 9,332.84, 12,875.16 and 6,307 is: 8,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.84 : 12,875.16 = 6,307 : x
  2. Step 2: Convert to fraction form
    9,332.84/12,875.16 = 6,307/x
  3. Step 3: Cross multiply
    9,332.84x = 12,875.16 × 6,307
  4. Step 4: Simplify right side
    9,332.84x = 81,203,634.12
  5. Step 5: Solve for x
    x = 81,203,634.12/9,332.84
  6. Step 6: Final answer
    x = 8,700.85

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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.