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Finding the Fourth Proportional to 10,547.90, 14,583.93 and 9,235.70

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Solution

The fourth proportional to 10,547.90, 14,583.93 and 9,235.70 is: 12,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.90 : 14,583.93 = 9,235.70 : x
  2. Step 2: Convert to fraction form
    10,547.90/14,583.93 = 9,235.70/x
  3. Step 3: Cross multiply
    10,547.90x = 14,583.93 × 9,235.70
  4. Step 4: Simplify right side
    10,547.90x = 134,692,802.30
  5. Step 5: Solve for x
    x = 134,692,802.30/10,547.90
  6. Step 6: Final answer
    x = 12,769.63

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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.