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Finding the Fourth Proportional to 9,807.32, 14,702.67 and 4,256.48

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Solution

The fourth proportional to 9,807.32, 14,702.67 and 4,256.48 is: 6,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.32 : 14,702.67 = 4,256.48 : x
  2. Step 2: Convert to fraction form
    9,807.32/14,702.67 = 4,256.48/x
  3. Step 3: Cross multiply
    9,807.32x = 14,702.67 × 4,256.48
  4. Step 4: Simplify right side
    9,807.32x = 62,581,547.29
  5. Step 5: Solve for x
    x = 62,581,547.29/9,807.32
  6. Step 6: Final answer
    x = 6,381.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.