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Finding the Fourth Proportional to 14,148, 19,493.10 and 10,547.64

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Solution

The fourth proportional to 14,148, 19,493.10 and 10,547.64 is: 14,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 19,493.10 = 10,547.64 : x
  2. Step 2: Convert to fraction form
    14,148/19,493.10 = 10,547.64/x
  3. Step 3: Cross multiply
    14,148x = 19,493.10 × 10,547.64
  4. Step 4: Simplify right side
    14,148x = 205,606,201.28
  5. Step 5: Solve for x
    x = 205,606,201.28/14,148
  6. Step 6: Final answer
    x = 14,532.53

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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.