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Finding the Fourth Proportional to 10,564.64, 14,578.80 and 5,848.84

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Solution

The fourth proportional to 10,564.64, 14,578.80 and 5,848.84 is: 8,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.64 : 14,578.80 = 5,848.84 : x
  2. Step 2: Convert to fraction form
    10,564.64/14,578.80 = 5,848.84/x
  3. Step 3: Cross multiply
    10,564.64x = 14,578.80 × 5,848.84
  4. Step 4: Simplify right side
    10,564.64x = 85,269,068.59
  5. Step 5: Solve for x
    x = 85,269,068.59/10,564.64
  6. Step 6: Final answer
    x = 8,071.18

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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.