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Finding the Fourth Proportional to 10,397.13, 14,348.06 and 5,681.40

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Solution

The fourth proportional to 10,397.13, 14,348.06 and 5,681.40 is: 7,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.13 : 14,348.06 = 5,681.40 : x
  2. Step 2: Convert to fraction form
    10,397.13/14,348.06 = 5,681.40/x
  3. Step 3: Cross multiply
    10,397.13x = 14,348.06 × 5,681.40
  4. Step 4: Simplify right side
    10,397.13x = 81,517,068.08
  5. Step 5: Solve for x
    x = 81,517,068.08/10,397.13
  6. Step 6: Final answer
    x = 7,840.34

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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.