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Finding the Fourth Proportional to 8,492.64, 12,681.72 and 6,935.70

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Solution

The fourth proportional to 8,492.64, 12,681.72 and 6,935.70 is: 10,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.64 : 12,681.72 = 6,935.70 : x
  2. Step 2: Convert to fraction form
    8,492.64/12,681.72 = 6,935.70/x
  3. Step 3: Cross multiply
    8,492.64x = 12,681.72 × 6,935.70
  4. Step 4: Simplify right side
    8,492.64x = 87,956,605.40
  5. Step 5: Solve for x
    x = 87,956,605.40/8,492.64
  6. Step 6: Final answer
    x = 10,356.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.